Check out the all bamboo R/D bow from Rudderbows Archery.
It has multiple "lams" for the riser, (actionboo, or bamboo flooring) a tapered "actionboo" core, and bamboo belly and back.
These are quite good performers, and Rudderbows sells them as a finished bow, or as a kit.
So, an "all bamboo" bow is certainly do-able, and if done well, they perform well, also.
Best of luck with your project, Capt Eddie.
R.W.