I'm not an LSU fan, so I don't really have a dog in the hate for them, but (and I'm just scattershot riffing here) Alex Box seats a little over 10,000.
Tiger Stadium seats close to 100,000 people....I'm gonna guess that the demand for hotel rooms during football season is 10 Times what it is for even the biggest baseball games.
I mean, assuming we want to look at this logically, of course...