Stiffer shocks.
My car occasionally wheel-hopped with the old Mopar automatic drag shocks - with SS springs! I considered trying their 4-speed drag shocks but went with Rancho adjustables, and no problems since then. I kept the piniuon snubber on.

The harder the car tries to leave, especially like with a 4-speed, the more "control" you need. Shocks have to be able to control the winding and unwinding of the leaf springs.