Seems like a question from the "what if department". Just my opinion, but so much work involved, and you would achieve very little. Better to simply take a board and cut 2 lams from it. Now fit them back together and add your Perry reflex, and build a bow. Much less work involved. You wont have a Self bow in either scenario, but you will have a chance to see what that kind of reflex adds, and some of the complexities involved.