Nice job on the French polishing - that represents lots of hours.
We use 1/16 thick brass and 1/8 thick plastic or wood plates. As Bill states, our habit is to construct the plate from 5 plies to make them stronger. A single thickness of wood is more prone to cupping or even splitting at the screw recesses. Of course, you can always make another one if that happens.
We have made replacement brass plates for instruments that originally had plastic plates, but let me tell you - 1/8 thick brass is really heavy!