I don't think that he sees ND as as special in the way that you or I see it. He probably sees ND as one of many tier 1 schools, but I'm sure he also sees it as a unique opportunity in the career of Brian Kelly. There are tier 1 coaching gigs that don't give a coach the platform that he seeks.
I don't think your question is particularly on point, because it's not lateral moves he's looking to make. I think that he's the ultimate narcissist, and wants people to think of him as a great coach.
I don't think that he'd ever want the challenge of coaching in the SEC. He probably wouldn't take a program like Michigan either because the risk isn't worth the move. He wanted the opportunity to be a legend at Notre Dame, but overestimated his abilities and the unique challenge that you need to embrace at Notre Dame.
I think that he'd take Texas, Miami, USC and maybe FSU. Beyond that, he's looking at NFL jobs. Alternatively, he'd probably take a 1 year stint at a school that could "repair" his image as an NFL caliber coach.