You could also have a thing where teams (team mods, essentially?) can ask for the points almost like a scholarship? In which case it wouldn't have to be the last team, but maybe like, "Our most active member just quit and half of our participants aren't around. We need something to stay in the game." That kind of thing, and then it'd be your decision whether or not to give them the points?
Re: Part 2 of lengthy comment XD
*ponders*
You could also have a thing where teams (team mods, essentially?) can ask for the points almost like a scholarship? In which case it wouldn't have to be the last team, but maybe like, "Our most active member just quit and half of our participants aren't around. We need something to stay in the game." That kind of thing, and then it'd be your decision whether or not to give them the points?