End it. Simply continue on with play at the end of regulation as if it were the end of the 1st or 3rd quarter. If the 4th quarter ends with a tied score put 15 minutes on the clock whoever has the ball continues with their possession at the start of additional time, next score be it a fg or TD wins the game.
What could be fairer? You know going into it what the deal is. So instead of some of these end game fg's to send it to OT you play for the decisive TD instead.