I know nothing about the 12 seeds to know if we'd match up well. If we stay out of foul trouble then I would hope these teams wouldn't give us much issues.
12 seeds - SDSU, Yale, Akron, Arkansas Little Rock
Out of the projected 4 seeds (to get out of the first weekend) I could see us giving any of these teams a game. Obviously we lost to TAMU on their floor but it was another close game.
4 seeds - Duke, Kentucky, Purdue, TAMU
It seems like Purdue would be the easiest route, but again I don't see any opponents there we couldn't beat.
As far as sweet sixteen (unlikely but possible) I want nothing to do with Virginia. Kansas, UNC, and Villanova are all winnable games. We'd be an underdog, but if this team shows up with their A game then I can see a way that they could win.