Until now, all team tournaments have same format...why not create some team tournaments with single elimination? And now it's possible use Byes. I think a tournament with simple elimination is more slow, but with an adequate time control that question is resolved.

I have also other idea, trying become team tournament more funny and strategic. When a capitain choose his team, players are placed according to their ratings. In my opinion, that favour best teams, so i propose that capitain of each team could put players how he wants.
Example: Capitain can put a player with worse rating in first place of his team and best players would be placed at the end, trying surprise the opponent team and win games where usually wouldn't win. When a capitain team sign up his team, the name of players would have to be substituted for ?, before at the beginning of tournament.