Eight groups of four, top two proceed...wouldn't that be 16 teams advancing? 16 to 8 to 4 to 2 to 1???
So that would be, oh lets see...3, 4, 5, 6, 7 games in two to three days. I think it would work, but perhaps time restraints wouldn't work. Maybe 1 winner per four team group to knock the games down to 6. Whatcha think?