Cities: Skylines

Cities: Skylines

TM:PE 11.9.1.0 STABLE (Traffic Manager: President Edition)
Parking AI question/issue
I have one parking lot in my city that cims just cannot figure out how to properly park in. There is no other parking anywhere nearby (lot is on a small island). Most are tourists, but I assume this is because it's parking for an amusement park

The behavior I see is this:
1-Vehicle(s) drive towards parking lot "heading to parking space" with a final destination inside the park (encompasses the whole island other than the parking)
2-When they arrive in the parking lot, they don't/can't/won't park
3-They'll instead take a brief moment "looking for another parking space"
4-They then exit the parking lot back out to the road, then find a way to turnaround and come right back to the parking lot, and back to step 1

(usually several vehicles repeat that whole cycle several times - enough to take traffic flow from 84% to 55% at one time)

Things I have tried:
-Big Parking Lots
-Parking Lot Roads
-Entry and exit to parking lot at the same end of the lot
-Entry/exit on opposite ends
-Multiple entry exit points
-Split into two smaller lots
-One way loop road around the lot
-Added parking garages next to the lot (they do get used to some extent)
-Provided multiple forms of public transportation to the immediate area
-Probably more....

The lot is almost never close to even 50% full. I very very often see cars drive past literal dozens of open spots before leaving the lot and circling around to re-enter. I watched one tourist loop through the lot SIX times before finally parking!

For now I've had to max prices and literally make the amusement park *less* attractive in hopes that I get fewer visitors...

Am I doing or overlooking something stupid here, or are the drivers all crazy?!

Thanks in advance for any help :)