I'll give you the benefit of the doubt on the OOC. I think NU has played their two toughest non-conference foes, UNC and Columbia.
Winning 10 in the Big 10? OK, assume NU beats all of the teams it should beat: @UNL, PSU, Minny, UoI, RU, @PSU, and UNL. No off-nights or slip-ups.
NU still needs 3 wins from: MD, @MD, OSU, @OSU, @Minny, Wisky, @IU, MSU, @Iowa, @PU, and @Mich. I don't see wins agains MD, MSU, @Iowa, @Purdue or @Indiana. So you need three from OSU, @OSU, @Minny, Wisky, and @Mich. OSU and Wisky look beatable in WR Arena, then you need one on the road. Could happen, and probably more likely than winning all the games NU "should" win.
I could see 1-1 in the BTT. First game is a fresh NU playing a team who played the previous day.
Now for the laughable bit:
No way NU wins 2 NCAA games. At best they are an 8 seed meaning they play a very good 9 seed in the first round (I highly doubt a Big 10 team is a final 4-in team, which would be one easy way to get a win). So winning 2 NCAA games means NU would be a Sweet 16 team in the first ever NCA Tournament. Winning 2 games in 3 nights against very good competition with a team with little depth at Guard. Nice to dream but you won't convince me.