The Big East champ (chump?) wouldn't be knocked out in this nightmare scenario. Both Kent St and the Big East champ would be automatic qualifiers and there would be one less slot for an at large team, like OU. (Both SEC teams in the BCS are expected to be automatic qualifiers.)
The last bowl in the rotation is usually forced to take the Big East champ, because somebody must take them and the early picking bowls won't take them. This time, the Sugar would likely take the Big East team to play UF, leaving the Orange Bowl stuck with Kent State.