11-1 Arkansas didn't win their division or conference, Boise State and Utah did. And you still went to a bowl, just maybe not BCS bowl. And did Boise State or Utah have 2 losses?
But if you went 11-1 and didn't win division or conference, I've got to believe you played in Sugar Bowl while probably Alabama played natchamp.
We're talking about a ONE-LOSS BCS CONFERENCE CHAMPION, in the SEC no-less, finishing behind TWO 2-loss teams, a 1-loss team from a non-BCS conference, an undefeated from a very no-name conference, and a team in the very division and conference which I won.