At least for pumpkin pie (the only one I have lots of experience with), I would wait for tomorrow if possible. Pumpkin pie is best made the day before so the flavors have time to mingle. I always make mine on Wednesday afternoon, let it cool to room temp on the counter, then wrap in foil and put in the fridge. Then I take it out 1-2 hours before serving. We like our pie firm and slightly cold, though tastes will vary.

If you have to make it today, it's not a problem. Just follow the same routine. It will still be good.

I'd wait until tomorrow, especially since it's so damp. It will just get soggy.

Thanksgiving newbie here.
If I make it today, how do I cover it up? Aluminum, saran wrap, loose kitchen towel?

Thanks.