The majority of Alternate Shot posts that I have read seem to be negative wrt setting up a game. I would like to suggest, if it is do-able, a special room be created. This room will only be for players that are looking to join an Alternate Shot game. This way, you do not have to go looking for players and hoping that they will accept. By entering this room, they are already stating that they want to join a game and are available to do so.
There could possibly be a way to set it up so that a team could enter the room looking for another team or just 2 others to join.