By your description it sounds like you're not flying the kite - if that's so then remove the fitting from the track for now. There may be a stopper of some sort that needs to be removed first to allow the car to slide off.
If you want to keep the bale there for when you'll need it, then some technique changes during tacks may be helpful. Try easing the sheet through the tack (after backwinding as suggested above) to prevent the soon-to-be-lazy sheet from flogging excessively. It may then not flail about enough to snag.
1984 Fast/Nicholson 345 "FastForward"
".. there is much you could do at sea with common sense.. and very little you could do without it.."
Capt G E Ericson (from "The Cruel Sea" by Nicholas Monsarrat)