Has any team in NCAA ever gone to a bowl at 6-6 without beating a team with a winning record?
Well only looking at last year:
Colorado State, Navy, and Texas Tech all made bowl games with 7 wins. However, none of those wins were against teams with winning records.
Five (5) teams ended the regular season 6-6 with only one (1) win vs a winning team.
And eleven (11) other teams ended the regular season with more than 6 wins but only one (1) win vs a winning team.
Those eleven include teams like 9-3 Miami (FL), 10-2 Ball State, and 9-2 Cincinnati.