www.therealbobroberts.com sells clicky Ms. Pac-Man sticks pretty cheap ($16 I believe). I have a couple of them and they are awesome.
The handles are SHORT though. They need either a metal panel or a mounting plate. Mine is in a metal panel, and I measure 11/16th from the panel to the bottom of the ball.
There is enough room for plexi too. But certainly not enough room to use any kind of wooden panel.
Long handled 4-ways seem, to have too long of a throw to properly play the Pac-games. I have a few long handled 4-ways of an unknown brand (whatever Sega was shipping with their Bloxeed kits back in the day), and they are really only good for puzzle games, and 2-way games.
When I switched from those to the Ms. Pac clicky sticks my Pac-Man scores went way way up. I can get to the 8th or 9th key now. Before I was having trouble getting more than a screen or two past the first apple.