I don’t have any experience with Allenpenlite foamcore process or materials but we have made foamcore materials for show props where we wanted the finished prop to be light weight, robust, easily assembled and disassembled, and easy move and store. We cut the styrofoam with a hot wire, then coated the styrofoam surface with moisture activated gorilla glue, mist the surface with water, lay the plywood on top, weight it down, and allow to dry. Turn it over and bond the other side(s). For you, The psi rating of the styrofoam and the thickness of the plywood are key in developing a suitably sturdy finished floor/sidewall. I don’t have any advice on that - my prop building days are far away in my past.