Veneering panels on both sides of ply or solid is for two main reasons: because of warping due to the shrinkage of the glue during cure, which is why backs need cheap "backer veneer" to balance the panel, and second, the backer seals the back to reduce taking on of moisture that causes warping.
So I have eliminated that in several veneerings that I have done by not using a glue the shrinks. My favorite veneer glue besides epoxy, is PL premium polyurethane constructon adhesive. Way cheaper then Gorilla glue (which I also like), and foams less. Both expand as they cure, are waterproof, and wont shrink lik PVA. I would suggest gorilla glue, due to its lower viscosity, easier to roll, but it will expand through the pores of the veneer and be white when finishing, although I dont know that for sure, just surmising. It may actually be great, so try some on mahogony where it WILL expand through the pores, sand and maybe the clear coat will wet out the glue filled pores. However, I have veneered with PL, and it looks like it wont roll out flat when you squirt it out of a caulk gun, but it will. Use a solid rubber brayer type roller, and it is surprisingly easy to roll out a uniform thickness. When you roll it out and it looks like you dont have on thick enough, it IS thick enough. It will give you lots of open time to position the pcs, then cover with plastic film, caul and press it.
The "balancing" stage will come when you glue these veneered panels to the thicker back panel, which, of coarse, I would use PL to do that. No need to clamp it either, just weights.
john.blazy_dichrolam_llc
Delta Unisaw, Rabbit QX-80-1290 80W Laser, 5 x 12 ft laminating ovens, Powermax 22/44, Accuspray guns, Covington diamond lap and the usual assortment of cool toys / tools.