So as someone who has dragged her patootie back and forth on I-40 from Knoxville to Memphis and back since the early seventies, 6+ hours each way, and now Asheville to Memphis and back, 8+ hours each way, I got curious about the mileage.
Here's what Google Maps has to say, with the starting point my mother's house in Memphis, because why not, lol (close to White Station HS for those familiar with Mempho):
Memphis to Ole Miss: 74 miles (this is not a whole lot more than a beer run in the minds of many Memphians)
Memphis to Mississippi State: 168 miles
Memphis to Vandy: 200 miles
Memphis to Bama: 226 miles
Memphis to Arky: 331 miles
Memphis to the Barn: 341 miles
Memphis to Mizzou: 377 miles
Memphis to UT: 380 miles (different time zone, OMG! You lose an hour! I-40 all the dang way!!)
Memphis to LSU: 387 miles
Memphis to UK: 412 miles (also Eastern!)
Not sure where in Illinois we're talking about, but MEM to UI-Urbana-Champaign is 411 miles. We're not competing with the Illini, are we??
Meanwhile, Hotlanta to UT: 199 miles
I never really lived in Memphis, as in growing up there, going to school there, etc., but I know enough folks there to know that the expectation is that their kids will go to Ole Miss, Bama, Memphis (oh dear, those pesky grades), maybe Rhodes or Hendrix, and various other private colleges. Relatively few have UT on their radars. East Tennessee feels like a foreign country (Eastern time zone!! The news doesn't come on until 11!!!) to many there, and that's in the white 'burbs.
edited to add Auburn and LSU after Hoptown's post