in the arctic where the two wood bow are found, the relative humidity can be high in the summer, keeping the wood fairly damp. In the winter, the extreme cold precipitates out any moisture as snow and frost, leaving the air fairly dry. Almost like a desert really. If the bow is brought inside into a heated space, it would be even drier causing the compression wood to go into deflex. that is, relative to the way it was orientated in the tree. a bow made with the belly surface from the underside of the branch goes into reflex when it gets damper. My guess is that 80% RH year round in a mild climate would be fine, and not need any special considerations.
Compression wood shrinks and expands much more than the normal wood, causing warpage if both woods types of wood are present in the same board, so when getting the stock milled, I would seek to get a piece with the same orangy colored consistency through out
trees lift and spread their branches when it rains, and the branches droop during dry spells