I can’t answer that with certainty, but based on what I do know, it seems as if he’s neutral on TN. As in, he doesn’t think about us one way or another.
I’d say it’s 90% Ole Miss, with a 10% chance of LSU IF there’s legitimate reasons not to go to Ole Miss at the time. And it would only otherwise be LSU as it’s closest to home for him (he’s grown a liking of them as a result, and has been to many of their games).
The family will likely keep Tennessee in the mix, as far as publicity is concerned, simply out of respect for Peyton and his affiliation with the University.
Bottom line is, Cooper strongly wants Arch to attend Ole Miss. And Arch is basically an Ole Miss fanboy who wants to continue the legacy there. It’s going to take quite a bit for him to end up elsewhere.