just my 2 cents, but some of those hotels may have rooms, they're just not on the coroprate lists...they block all the weekends durring football season then release the weekends that aren't on the schedule once its released...although once the schedule is final, people call instantly to load up the hotels for outrageous sums...
depending on the size of your group, you could always rent a 'Winnie' and park right at the stadium with all the others...that 90 mile drive doesn't seem long, but the traffic will make it seem like 1000 miles