Hello,
What kind of wood are you working with? I live in a similar climate, it sounds - South Florida. So we have wet and dry seasons. Is the bow in an air conditioned house while drying out?
Do you have a heat gun? You may also use other methods of toasting the belly of the bow, but this may be a very helpful thing to consider.
I'd take straigharrow's advice into strong consideration. You'll be good to go, most likely.
Sealing the bow? If it's been tillered right and shot in a bit, seal her up. Different woods to better/worse in different humidity levels.
Let us know.
Good luck,
Parnell