The tangible route to the NCAAs without winning the Big 12 tournament.
Win at Texas. That likely makes the Cats the 6 seed in the Big 12s.
Then they would have to go through 2 of OU/BU/ISU to make the title game, which would mean 2 more Top 50 and Top 25 wins.
So with a loss in the title game, K-State would finish 18-16, but would have at least 9 wins over RPI top 50 teams and 7 over RPI Top 25 teams. Even with that record, it would be tough for the committee to leave them out.