Kansas St (for example) had numbers like U mentioned (in Big 12) in 2008 but got NIT instead.
WTF are you talking about? KSU made the 2008 NCAA tournament by going 10-6 in the Big 12 while losing their first game in the Big 12 tourney. Again, they MADE the NCAA, which strengtens my argument, not your's. Not only that, they won a game in the NCAA tournament in 2008.
K-State made the NIT last year when they went 9-7 in the Big 12. 9-7 is much different than 11-7 or 12-6.
Basically, you might as well quit now with this argument. If a Big 12 or Big 10 team gets to 11 or 12 regular season wins, they are in regardless of what they do in their conference tourney. It is really that simple. Again, there has NEVER been a Big 10 team with 11 or more reg season wins get left out. It absolutely won't happen with a Tubby Smith-led Minnesota team.
I'll ask again - you cannot seriously think that a 20-win Gopher team that is 11-7 in the Big 10 that loses on Friday in the BTT would get left out, can you?
I cannot find a single example of a Big Ten team winning 11 games, losing on Friday and missing out. But, I found these:
2009 - Wisconsin entered BTT 10-8 BT record and 19-11 overall, lost on Friday, got IN NCAA
2007 - Indiana entered BTT 10-6 BT record and 20-9 overall, lost on Friday, got IN NCAA
2006 - Wisconsin entered BTT 9-7 BT record and 19-10 overall, lost on Friday, got IN NCAA
2003 - Purdue entered BTT 10-6 BT record and 18-9 overall, lost on Friday, got IN NCAA
2002 - MSU entered BTT 10-6 BT record and 19-10 overall, lost on Friday, got IN NCAA
2001 - Wis entered BTT 9-7 BT record and 18-9 overall, lost on Friday, got IN NCAA
2000 - Purdue entered BTT 12-4 BT record and 20-8 overall, lost on Friday, got IN NCAA
With 11 BT wins, the Gophers would enter the BTT this year at 20-10 record. They are in the NCAA at that point regardless of what happens in Indy. That's it. Simple.
You have a decent knowledge of the game, so please quit with this line of thinking.