J.S.
S. W,
The Minnesota Zoo has giant tables in front of the monkey windows that you can rent out for birthdays. I have no idea how much it costs or if you have to pay admission or what, but I know they do pizza, and the kids LOVE watching the monkeys while they eat.
You might want to try Como Park and or Zoo, I don't know if they rent their shelter houses or if you can just go claim one, but that's a place to try. The Zoo there (which is free) might also have something similar to the Minnesota Zoo.
Good luck! :)