I'm not sure who the teams are, but the idea that they could all still be winless after next week blows my mind. There should not be ties in sports, especially professional sports.
I don't care how boring it is. Have a field-goal off, or 2 point conversion off, or something so there's a conclusion for the football game.
The field goal off would be less contact so injuries aren't as big of a concern. Start at the 10 yard line, each team gets a shot. If they both make it, move back ten yards, and so forth until someone misses.