I've had success with thin quartersawn hickory backing strips on black cherry. As thin as 1/16". The thicker the backing, the greater the chance of it crushing the belly surface wood.
For these bows, I decrowned the cherry staves, brought the working limbs to about 5/8" thick at the dips, tapering to 1/2" at the tips, and then glued in a nice gentle overall reflex. Titebond type wood glue will work well if the gluing surfaces are relatively smooth, and a good epoxy like Smooth On or Unibond works great if the surfaces are rougher due to grinding or toothing plane work.
These cherry bows are lively of cast and feather light to carry.