I wouldn't think the park would be the best place, given it's likely the first choice of a few thousand stressed out strangers who'll get there ahead of you. No facilities. Eeeeyuw. Might be worse than a shelter.

I'd suggest making friends with your neighbors. Who has a courtyard or yard you all can share? Have you got a portapotty? :-> Set up a neighborhood group and get some gear for the group, store it in the open area, and be ready to set up in your own private campground. Group food, group kitchen, group childcare, group potties, group security.

If there's no courtyard, got an alley you can block off? A deadend? You can figure something out.

Phil