You really only gonna have that chance when you play in one of the top 4-6 bowl games though. Unless you are a perennial blue blood or consistent top 10-15 team, that isn't going to be very often.
The 2010 Insight Bowl win over 10-2 (6-2) Missouri sorta qualifies. Missouri tied for the best B12 conference record at 6-2 with four other teams, but didn't earn a berth in the B12 title game.