Welcome to PA Eric. Glad to have you join us!
You can use boo as a backing for red oak but better options are available; both as backings for red oak and as belly options for boo.
Bamboo makes a very strong backing for a bow so ideally you want to use a belly wood that is strong in compression. Osage, ipe, yew and other compression strong woods would be more appropriate. Good backings for red oak would be hickory, elm ash or maple or a simple backing like rawhide, silk or linen. The latter won't add any performance but will add protection against lifting splinters.
Check out George Tsoukalas' website for lots of info on building red oak and other board bows. You can find George's site at the top of the "How To" section.