I think the old West Coast Conference got it right. Take your top team or teams and start them in the semifinals. 7 games in 7 days sounds pretty barbaric.
I'd also invite most but not all teams to the conference tournament (in a larger conference), placing more of a premium on regular season results. In the 15 team A10, my bracket would look like this:
12 team field
First round: 5 plays 12, 6 plays 11, 7 plays 10, 8 plays 9
Quarterfinal: 3 plays highest remaining seed (worst remaining team), 4 plays second highest, two matchups based on first round winners with lower remaining seed playing higher remaining seed
Semifinal: 1 plays highest (worst) remaining seed, 2 plays other remaining team
So, 1 and 2 go straight to the semis, 3 and 4 go straight to the quarters, and 13-15 don't qualify.