Was able to finally get this working by hosting it as a dedicated server.

Follow these instructions to get Chivalry's basic server started: https://www.reddit.com/r/ChivalryGame/comments/17fi6n/basic_server_hosting_guide/

but instead of the batch file they tell you to make, make this one:
CD "C:\Program Files (x86)\Steam\steamapps\common\chivalry_ded_server\Binaries\Win32"
UDK.exe to2-randomdungeon_p?steamsockets?modname=RandomDungeon -sdkfileid=545457243