I suspect that trying to use studio lights in this way for sports will be a lot like dance photography. You would need lots of power distributed among many flash heads so that you get a lot of light with short flash duration. I.E., instead of putting 1600 W-s through one strobe head, put 400 W-s each through four heads, and you'll have a better chance of freezing the action. That's how Lois Greenfield gets those perfectly sharp dancers suspended in mid-air.
The shutter speed shouldn't really be relevant, and I'd be surprised if your studio lights can sync at full power at high speed.
I also think you're going to lose too much light trying to bounce off the ceiling of a gym, even with studio strobes.