Cool!
The thing about the Happs/Atari giant track balls, is that the mechanism is designed for mounting under a metal CP. If you were to mount one even under a 1/4" of plywood, you would be seriously reducing the surface of the ball you'd have to play with.
If you're going to design/manufacture your own, you could make the top of the mechanism 3/4" lower, so that the ball could be mounted in a regular wood CP.
I'll do some measuring when I get a chance (which may not be soon, unfortunately). How much access do you have to a metal shop?