Tigre, may I appeal that we try Waseda format for this team tournament? We haven't used it since WinterBrawl 4, but I think it will be fun.
It's simple in a 2v2,
Team A player 1 and Team B's player 1 fight each other.
Team A player 2 and Team B's player 2 fight each other.
If a team wins both matches, that team wins. If a team loses both matches, that team loses.
If a team wins one and loses one, the winning players fight each other. It keeps the event short, streamlined, but also guarantees that everyone who entered teams plays. It requires no extra management on your part, the teams can certainly do this themselves.
Of course standard format is better for 3v3 though.