If you're looking for something that comes pre-built with a giant handle, you're pretty much out of luck. Original Berzerk sticks have a big bat handle, but they're not as big as you want, very hard to come by, and go for big $$ on ebay. There was an old Exidy game- Targ? that had an oversized balltop- but again, not as big as you described and hard to come by.
You're pretty much going to have to homebuild the handle and attach it to an existing joystick base. You
could use a standard joy like a Super or Competition, but the extra-tall, extra-heavy handle would probably overpower the spring and possibly break the joystick base.
NoOne's right; you need something heavy-duty like a triggerstick base: Xenophobe, Gorf, Tron, or the like.
Any other possible solutions?
I was thinking about something from Happ, etc.....
the NOS thing can get a little expensive, and my budget isn't the biggest for this project.
Happ still sells triggersticks. It'll cost a
lot more to buy them from Happ than to pick up some used ones on ebay, though.