Best of 3 format for the rounds of 16 and 8. The round of 16 would be this weekend at campus sites, with the higher seeds playing host.
The round of 8 would be the "regionals" at neutral sites, next weekend. I might re-seed after the round of 16 and after the regionals.
The Frozen Four would remain the weekend after the Final Four, but I'd flip it from Thursday-Saturday to Saturday-Monday. This would give teams more rest, make it easier for more people to watch the Saturday games, and maximize TV ratings for the championship game.