All 5 of the lotto ball teams project to lose in R1. Lehigh, ASU, Mizzou, Wyoming, and LRA.
In cosi R1, I think Lehigh beats ASU, Mizzou beats LRA, and Wyoming loses to the VT/Minny loser. So that leaves Lehigh and Mizzou. It's unclear which topside brackets feed into the consi R2 though so I can't easily estimate further.
Assuming the quarterfinal losers go to the opposite side in the consis and things go chalk, Lehigh could have Illinois or NC State in consi R2 and Mizzou could have either VT/Minny or Michigan. So I think Lehigh has the best chance to advance