A "Loser Leaves Town" match, just like in the old days of professional wrestling.
For some added excitement, make Broncos owner Pat Bowlen the special guest referee. They could even script a run-in by former Broncos coach Mike Shanahan, who could come to the ring with a steel chair in hand, stare down both guys and then whack Cutler in the head with it.
Probably (and obviously) won't happen but somehow this drama needs to end. Mike Golic said it best on SportsCenter when he referred to the spat as "two kids fighting in the sandbox."