It's like a Chinese finger trap. The more you pull, the tighter it gets. Their solution was to move their fingers so quickly, they would release before the trap could tighten.
It seems silly that there's no way to move a ship in space without using warp or impulse power. Thrusters seem to work with all the computers off, so why not get out using only maneuvering thrusters?
The problem was overthought. Don't try cheating the trap, circumvent it completely. Heck, they avoided destruction a couple years later by opening a shuttlebay.