Strategy: Possible for Outlaw to Openly Team Up with Sheriff?

While it seems incredibly unlikely, I was curious if it is possible for the Outlaw to openly solicit the help of the Sheriff. When would this happen? Perhaps when there are only 3 roles left: Outlaw, Sheriff, Renegade. The Renegade has full health and the Sheriff/Outlaw are down to 3/2 health. The Outlaw knows he could be teamed up on for the 3 card bonus. But perhaps he could convince the Sheriff that the Renegade is enough of a threat that he ought to help him lower the Renegade's health first. After all, no Beer works once there are only 2 players left. The issue is that it is not clear why once the Renegade's health was down that the Sheriff would not return to gunning the Outlaw (3 card bonus). And then the Outlaw would be wasting his ammo on the Renegade. So I don't think this would work. It could work as a 1 time juke move--convince the Sheriff to gang up, let the Sheriff take a turn against the Renegade and then turn on the Sheriff right away. That way you get 1 turn without the Sheriff gunning at you. Of course, don't expect it to work again. Can anyone else think of a situation where an Outlaw might team up with a Sheriff?