Well, you can't have 12 with byes ... it just doesn't work. If you don't want byes you have to go with 8 or 16. Here's the problem with that, and why you have to have byes, and I think want byes.
If it's 8, then you get 6 conference champs and then 2 at-large. So this year you would have had:
- Bama (SEC) - 1
- UM (B1G) - 2
- Cincy (G5) - 4
- Baylor (B12) - 7
- Utah (PAC) - 11
- Pitt (ACC) - 12
At large:
- UGA - 3
- ND - 5 (or tOSU - 6)
There are two problems here one with byes - without byes, the 6 conf champs and UGA played a game on the 1st week of December in a CC. ND and tOSU didn't. One of them is getting in with an extra week off.
As an aside this shows why 8 blows so badly ... you got the 7th, 11th, and 12th ranked teams in and you are going to leave out 6, 8, 9, and 10 - 4 teams ranked higher than 2 teams that got in. You simply can't reward them for not getting into the CCG.
If it's 16, then you have:
- Bama (SEC) - 1
- UM (B1G) - 2
- Cincy (G5) - 4
- Baylor (B12) - 7
- Utah (PAC) - 11
- Pitt (ACC) - 12
At large:
- UGA - 3
- ND - 5
- tOSU - 6
- Ole Miss - 8
- OkState - 9
- Mich State - 10
- BYU - 13
- Oregon - 14
- Iowa - 15
- Oklahoma -16
This really shows the problem with no byes ... now you have ND, tOSU, Ole Miss, MichState, BYU, and Oklahoma getting in with a week off while everyone else played in conference championships. You can't give them an edge like that.
This is why byes are needed ... you have to give the best conference champs a bye so they don't have to play teams that were off. The lowest ranked AQs may have to do that, but tough, be one of the 4 best next time.
Running through this, you could argue for a 10 team playoff with 6 AQs, all of whom get byes. Then the other 4 play to get you to 8.