Alright, sounds good.
Personally, I think teams of threes or fours would be a good amount. Then, there can be several teams, and a leaderboard will have more meaning than one with just three or four teams. If a team doesn't have someone who can represent them with one of the week's chosen games, they won't be penalized, but they won't be able to add to their ranking, either. Four player titles could be done as 2v2s, with whoever wins the first spot garnering all the points, and in this respect, one player would play a supporting role in these games.
I think rules should be created, then teams should be formed, then a schedule should be made using about one or two games a week, matching up a few teams against each other. It would be interesting to allow every team to play every other team in just about nearly every online game, with Bye weeks existing when a team doesn't have a rep for a particular title. Each team could be matched two or three times against opposing teams a week, so everyone gets a chance to play. I suppose people who wanted to be on their own team could, too, but they would be at a disadvantage any time a 2v2 game rolled around.