Veneering wood is a Pain in the rear. You are better off using a cap.
The best guitar veneers are applied using a vacuum bag and pump. Those are ridiculous pieces of wood working gear to have to buy... they aren't an arm and a leg but not stupid cheap either.
Plus, veneers don't add any value to a guitar... they are usually a sign of cheapness and budget cutting.
A good cap will just glue and clamp like any other piece of wood and will actually add to the value of your build. A good cap is easy to route for binding and faux binding on a decent cap looks fantastic IMHO.
Just forget the veneer... trust me, I wouldn't steer you wrong.