Maybe seed the 12 teams going to the NY6 bowls, so 1 plays 12, 2 plays 11, 3 plays 10, and so on. Then, after those games are done, re-vote on the top 4. Even if the top 6 teams win, who knows? Maybe the the #5 team flushed #8 down the toilet before halftime, while #4 needed an injury to #9, a controversial call (or non-call) by a referee, a blocked field goal attempt, and still barely beat #9. In that case, maybe #5 will jump #4 in the rankings. Or maybe #1 was Alabama, and even though they lost to #12 Florida, they'll still be in the 4-team play-off because Bama, SEC, ESPN, and all the other things. Florida, of course, would also have to be put in the playoffs, because Bama, SEC, ESPN, and all the other things.
It'd never happen, of course, because the Rose Bowl will want to hold onto the conference tie-ins for as long as they can. And I admit that I dig that tradition, but it's maybe already been tarnished since the 2001 season (when Miami and Nebraska played for the national championship there).