Like others have said, the drier the better, but hickory will reabsorb water quickly. You can keep it in a hot box or dry environment while working it, but once it's done and out of the shop it'll likely re-absorb based on the humidity in the air. In your area, that's not insignificant. I'd accept that your bow will have some string follow and just roll with it.
I have access to lots of hickory, and it's tough enough that it's hard to screw up so bad that it breaks. For those reasons it's something I've played around with a lot. But due to its low compressive strength and desire to absorb moisture, even a well tillered bow will end up with set after being strung and shot. If you put in some reflex, the set won't seem as bad. Toasting the belly helps too.
I think I did a good job on my daughter's hickory stave bow. I did toast the belly but put in no reflex. After it has rested for awhile, it comes back to about 1.25" of string follow. After she's had it strung for the day and been using it, it is closer to 2.5" of string follow.