I shoot a sinew backed osage bow, 52" nock to nock, draws 50# at 26 inches at 40 degrees F. At 72 degrees F then I am down to 45 lbs. We have very little problem with humidity in western South Dakota, but warmer temps will also suck the tnap outa your sinew backed shooters.
Have shopped for a fridge to store the bow in more than once, but I'd have to run outside and shoot awful fast before it warmed up!
Instead I compensate by putting heavier field points on the arrows to make the spine act a little lighter, or get used to the arrows coming out a little "nock right".
If you gotta deal with the humidity issue, maybe look for a small dehumidifier to put in a closet along with the bow.