It sounds like when the subvi opens, it runs indefinitely.
If every time you open the vi to edit it, it runs - you can open a new VI and insert these bad VIs as subvi, then you can open them for editing.
Then edit the bad VIs by changing the True/False control at its While loop run control. It might have a forced True making it run continuously when opened - in which case you can change to a False to allow only 1 loop.
Another way to try to stop a free-running VI, besides Ctrl/alt/del is to attempt to turn your highlight mode On - between loops (its just a matter of luck though), this allows you the extra second to then abort the vi.
Good luck with it, Doug