I think it should be fine... but I would just think about where you’ll dump it.. it’s private property that you’re paying to use so you don’t want to just dump it wherever

Pretty sure that’ll be perfect. We saw a few tents setup when we stayed there.

Yes, I think that's fine. There were tents there when we visited. You just need to be self-contained for water and sewage but a camp toilet would work just fine. They just request that everyone keeps the area clean so that it can stay open.