The problem is that the networks know that a 1 PM ET kickoff will suck for ratings. Because all the eastern time zone games kick off at noon, only die hard fans will leave a game already in progress to watch a game starting only an hour later. Hence why most kickoffs are grouped around 3-4 hour windows. Noon, 3:30 pm, then primetime around 7:30 or 8.
This is fine for MT and PT, as nobody wants a game kicking off at 9 or 10 AM local. But CT gets screwed, because there are too many schools for all of them to have afternoon kickoffs, and the networks don't want to push them to 1 pm and screw up the rest of their schedule for the day while simultaneously screwing their ratings.
So CT gets 11 AM local kicks.