re: So which teams go to The Sugar Bowl if LSU/Gumps go to NC?

Still not getting the answer I'm seeking. Try again:

If LSU (unbeaten) and Gumps (1 loss... to LSU) are ranked 1 and 2, and by consequence of their ranking in the final BCS poll before the BCSNC, they are both participants in said contest, from where does the replacement for the Sugar Bowl come from since no other SEC teams are allowed to participate in a BCS Bowl as a representative of the SEC? If the Sugar Bowl loses an automatic qualifier, do they supercede any of the other bowls and could usurp one of their picks, or do they just have to accept that they get leftovers, which would be like as follows below?

I am going to assume the following:

BCSNC - LSU vs. Gumps (SEC/SEC)
Rose Bowl - Oregon vs. Michigan State (PAC12/B10)
Fiesta Bowl - Stanford vs. Oklahoma (PAC12/B12)
Orange Bowl - Clemson vs. Cincinnati (ACC/BEast)
Sugar Bowl - Boise vs. ? (MW/?)

So, that leaves one representative left available from the Big East, ACC, B10 and B12. Based on current conditions, I'd have to assume that's going to be OSU. It would not be a bad pick, but there would be NO BCS automatic conference champion in the Sugar Bowl unless they somehow were compensated by selecting before another bowl, although I have to assume OSU fans would come to New Orleans in droves if they selected them.