Big1T2en re-nonalignment

My theory is none of the other sports will need divisions in the new Big1T2en, why does football need them. I'll ignore the obvious answer that you can't/don't want to play all the conference teams during a football season.

Why not keep/assign rivalries, fill out the rest of the schedule rotationally and then whichever two teams end up with the best records, they play in the conference championship. Wouldn't the BCS have preferred that Oklahoma play Texas (or Texas Tech) in the Big 12 championship a couple years ago instead of Missouri?

Here's my rivalry table

Team	Rivalry 1	Rivalry 2	Rivalry 3
Illinois	N'Western	Purdue	OSU
Indiana	Purdue	N'western	MSU
Iowa	Minnesota	Wisconsin	Nebraska
Michigan	OSU	MSU	Minnesota
MSU	Michigan	PSU	Indiana
Minn	Wisconsin	Michigan	Iowa
Nebraska	Iowa	PSU	Wisconsin
N'Western	Illinois	Indiana	Purdue
OSU	Michigan	PSU	Illinois
Penn St	OSU	MSU	Nebraska
Purdue	Indiana	Illinois	N'Western
Wisconsin	Minnesota	Iowa	Nebraska

Nothing would be perfect of course. In fact there is quite a disparity in the quality of each teams trios of rivals. Looking at the past 10 years winning percentage and ordinal ranking of those winning percentages of the trios:

Team	rivalry %	Riv rank	Ordinal	Ord rank
Illinois	0.600766667	6	6.00	6.5
Indiana	0.519536667	10	8.33	10
Iowa	0.62547	4	4.67	4
Michigan	0.608326667	5	6.00	6.5
MSU	0.548256667	9	7.00	9
Minn	0.64852	2	4.17	2
Nebraska	0.638716667	3	4.50	3
N'Western	0.42925	11	10.00	11
OSU	0.572173333	8	6.67	8
Penn St	0.663706667	1	3.83	1
Purdue	0.408276667	12	11.00	12
Wisconsin	0.59705	7	5.83	5

Funny how PSU fans always think they're getting the shaft from the conference. Looks like they would have the toughest trio. However since the teams would only have 3 rivals every year instead of the 5 they would have in a divisional system, I think it would be more likely the differences would balance out in the remaining 5 or 6 conferences games.

This way you would have had a UM - OSU championship game in 2006 for instance, instead of a geographical OSU vs - Wisconsin(?) or Penn St.