Paste this into your Game.ini file.
Chance Saddle will be a Blueprint: 75% (0.75)
Chance Saddle will be in a Red Beacon: 5% (0.05)
Occurances: Red Beacon Drop (& with Ring) AND in Deep Sea Loot Crates
Possible Saddle/Blueprint Quality: Primitive, Ramshackle, Apprentice, Journeyman, Mastercraft AND Ascendant

Customize:
1) Add a new Line by coping one of the two examples above
2) Change its class string to one of your favorite.
3) Change its blueprint drop chance or force it to be a blueprint
4) Change its drop chance at all by changing the "SetWeight"
5) Change its MaxQuality property to a value calculated by yourself (see below).

Calculate Max Quality:
Usually you calculate 40.00 / 100.00 * 20.00 = 8.0 (for Ascendent quality).
40.00 is the starting value, which can vary. 100.00 is equal to 100% and 20.00 is the quality you want to have (see below: Quality Table)
The starting value depends on the inventory / Supply Crate.
You might need to figure out the correct starting value yourself or research it.
If you always use 40.00 as the starting value the max possible quality will estimatedly be what wildcard might intended.

Quality Table:
0.00 => Primitive
3.00 => Ramshackle
5.00 => Apprentice
8.70 => Journeyman
12.50 => Mastercraft
20.00 => Ascendant

Inventory Classes:
DinoDropInventoryComponent_Kaiju_C
DinoDropInventoryComponent_Kaiju_Desert_C
DinoDropInventoryComponent_Kaiju_Forest_C
DinoDropInventoryComponent_Kaiju_Ice_C

DinoDropInventoryComponent_BossDragon_Easy_C
DinoDropInventoryComponent_BossDragon_Hard_C
DinoDropInventoryComponent_BossDragon_Medium_C
DinoDropInventoryComponent_BossGorilla_Easy_C
DinoDropInventoryComponent_BossGorilla_Hard_C
DinoDropInventoryComponent_BossGorilla_Medium_C
DinoDropInventoryComponent_BossGorilla_TheCenter_C
DinoDropInventoryComponent_BossGorilla_TheCenter_Hard_C
DinoDropInventoryComponent_BossGorilla_TheCenter_Medium_C
DinoDropInventoryComponent_BossManticore_Easy_C
DinoDropInventoryComponent_BossManticore_Hard_C
DinoDropInventoryComponent_BossManticore_Medium_C
DinoDropInventoryComponent_BossSpider_Easy_C
DinoDropInventoryComponent_BossSpider_Hard_C
DinoDropInventoryComponent_BossSpider_Medium_C
DinoDropInventoryComponent_BossSpider_TheCenter_C
DinoDropInventoryComponent_BossSpider_TheCenter_Hard_C
DinoDropInventoryComponent_BossSpider_TheCenter_Medium_C
DinoDropInventoryComponent_Boss_Manticore_C

DinoDropInventoryComponent_Carnivore_Large_Basilisk_C
DinoDropInventoryComponent_Carnivore_Large_Basilisk_Alpha_C
DinoDropInventoryComponent_Carnivore_Large_Crab_Alpha_C
DinoDropInventoryComponent_Carnivore_Large_Reaper_Alpha_C
DinoDropInventoryComponent_Carnivore_Large_RockDrake_C
DinoDropInventoryComponent_Carnivore_ReaperQueen_C
DinoDropInventoryComponent_Carnivore_Seeker_C
DinoDropInventoryComponent_Carnivore_Small_Chupa_C
DinoDropInventoryComponent_EndBossMinion_C
DinoDropInventoryComponent_Herbivore_Medium_GasBags_C
DinoDropInventoryComponent_Corrupted_Huge_C
DinoDropInventoryComponent_Corrupted_Huge_Gigant_C
DinoDropInventoryComponent_Corrupted_Huge_Rex_C
DinoDropInventoryComponent_Corrupted_Huge_Rex_Mega_C
DinoDropInventoryComponent_Corrupted_Huge_Spino_C
DinoDropInventoryComponent_Corrupted_Huge_Wyvern_C
DinoDropInventoryComponent_Basilo_C
DinoDropInventoryComponent_Carnivore_Huge_C
DinoDropInventoryComponent_Carnivore_Huge_FireWyvern_C
DinoDropInventoryComponent_Carnivore_Huge_Gigant_C
DinoDropInventoryComponent_Carnivore_Huge_Leed_C
DinoDropInventoryComponent_Carnivore_Huge_Leed_Alpha_C
DinoDropInventoryComponent_Carnivore_Huge_LightningWyvern_C
DinoDropInventoryComponent_Carnivore_Huge_Mega_C
DinoDropInventoryComponent_Carnivore_Huge_MegaFireWyvern_C
DinoDropInventoryComponent_Carnivore_Huge_PoisonWyvern_C
DinoDropInventoryComponent_Carnivore_Huge_Rex_C
DinoDropInventoryComponent_Carnivore_Huge_Sauro_C
DinoDropInventoryComponent_Carnivore_Huge_Spino_C
DinoDropInventoryComponent_Carnivore_Huge_Yuty_C
DinoDropInventoryComponent_Carnivore_Large_C
DinoDropInventoryComponent_Carnivore_Large_Allo_C
DinoDropInventoryComponent_Carnivore_Large_Argentavis_C
DinoDropInventoryComponent_Carnivore_Large_Boa_C
DinoDropInventoryComponent_Carnivore_Large_Sarco_C
DinoDropInventoryComponent_Carnivore_Medium_C
DinoDropInventoryComponent_Carnivore_Medium_Thylaco_C
DinoDropInventoryComponent_Carnivore_MegaCarno_C
DinoDropInventoryComponent_Carnivore_Mega_Megalodon_C
DinoDropInventoryComponent_Carnivore_Mega_Mosa_C
DinoDropInventoryComponent_Carnivore_Mega_Raptor_C
DinoDropInventoryComponent_Carnivore_Mega_Rex_C
DinoDropInventoryComponent_Carnivore_Small_C
DinoDropInventoryComponent_Carnivore_Small_Dilo_C
DinoDropInventoryComponent_Carnivore_Small_Leech_C
DinoDropInventoryComponent_Carnivore_Small_Otter_C
DinoDropInventoryComponent_Carnivore_TickleChicken_C
DinoDropInventoryComponent_Fireworks_C
DinoDropInventoryComponent_Mantis_C
DinoDropInventoryComponent_Rhino_C
DinoDropInventoryComponent_Carnivore_Large_CrystalWyvern_C
DinoDropInventoryComponent_Carnivore_Huge_MegaCrystalWyvern_C
DinoDropInventoryComponent_Carnivore_AlphaTusoteuthis_C
DinoDropInventoryComponent_Carnivore_Tusoteuthis_C
DinoDropInventoryComponent_Carnivore_Deathworm_C
DinoDropInventoryComponent_Carnivore_DeathwormAlpha_C

Supply Crate Classes:
SupplyCrate_Cave_Aberration_Level10_C
SupplyCrate_Cave_Aberration_Level10_Double_C
SupplyCrate_Cave_Aberration_Level25_C
SupplyCrate_Cave_Aberration_Level25_Double_C
SupplyCrate_Cave_Aberration_Level35_C
SupplyCrate_Cave_Aberration_Level35_Double_C
SupplyCrate_Cave_Aberration_Level50_C
SupplyCrate_Cave_Aberration_Level50_Double_C
SupplyCrate_Cave_Aberration_Level65_C
SupplyCrate_Cave_Aberration_Level65_Double_C
SupplyCrate_Cave_Aberration_Level80_C
SupplyCrate_Cave_Aberration_Level80_Double_C
SupplyCrate_Dungeon_Aberration_Level35_C
SupplyCrate_Dungeon_Aberration_Level50_C
SupplyCrate_Dungeon_Aberration_Level65_C
SupplyCrate_Dungeon_Aberration_Level80_C
SupplyCrate_Level35_Aberrant_Surface_C
SupplyCrate_Level35_Aberrant_Surface_double_C
SupplyCrate_Level50_Aberrant_Surface_C
SupplyCrate_Level50_Aberrant_Surface_Double_C
SupplyCrate_Level65_Aberrant_Surface_C
SupplyCrate_Level65_Aberrant_Surface_Double_C
SupplyCrate_Level80_Aberrant_Surface_C
SupplyCrate_Level80_Aberrant_Surface_Double_C
SupplyCrate_Base_Horde_C
SupplyCrate_Base_Horde_Easy_C
SupplyCrate_Base_Horde_Hard_C
SupplyCrate_Base_Horde_Legendary_C
SupplyCrate_Base_Horde_Medium_C
SupplyCrate_Horde_MeteorBase_C
SupplyCrate_Cave_QualityTier1_EX_C
SupplyCrate_Cave_QualityTier2_EX_C
SupplyCrate_Cave_QualityTier3_EX_C
SupplyCrate_Chest_Treasure_JacksonL_C
SupplyCrate_FlyBy_Cue_C
SupplyCrate_Cave_QualityTier1_C
SupplyCrate_Cave_QualityTier2_C
SupplyCrate_Cave_QualityTier3_C
SupplyCrate_Cave_QualityTier4_C
SupplyCrate_IceCaveTier1_C
SupplyCrate_IceCaveTier2_C
SupplyCrate_IceCaveTier3_C
SupplyCrate_Level03_C
SupplyCrate_Level03_Double_C
SupplyCrate_Level15_C
SupplyCrate_Level15_Double_C
SupplyCrate_Level25_C
SupplyCrate_Level25_Double_C
SupplyCrate_Level35_C
SupplyCrate_Level35_Double_C
SupplyCrate_Level45_C
SupplyCrate_Level45_Double_C
SupplyCrate_Level60_C
SupplyCrate_Level60_Double_C
SupplyCrate_OceanInstant_C
SupplyCrate_SwampCaveTier1_C
SupplyCrate_SwampCaveTier2_C
SupplyCrate_SwampCaveTier3_C
SupplyCrate_UnderwaterCaveTier1_C
SupplyCrate_UnderwaterCaveTier2_C
SupplyCrate_UnderwaterCaveTier3_C
SupplyCrate_Cave_QualityTier1_ScorchedEarth_C
SupplyCrate_Cave_QualityTier2_ScorchedEarth_C
SupplyCrate_Cave_QualityTier3_ScorchedEarth_C
SupplyCrate_Level03_Double_ScorchedEarth_C
SupplyCrate_Level03_ScorchedEarth_C
SupplyCrate_Level15_Double_ScorchedEarth_C
SupplyCrate_Level15_ScorchedEarth_C
SupplyCrate_Level30_Double_ScorchedEarth_C
SupplyCrate_Level30_ScorchedEarth_C
SupplyCrate_Level45_Double_ScorchedEarth_C
SupplyCrate_Level45_ScorchedEarth_C
SupplyCrate_Level55_Double_ScorchedEarth_C
SupplyCrate_Level55_ScorchedEarth_C
SupplyCrate_Level70_Double_ScorchedEarth_C
SupplyCrate_Level70_ScorchedEarth_C