You would have to get someone with no ties to the bluebloods. (Self grew up a Kansas fan living in Oklahoma. He also started his coaching career there as a GA. This is why he left for Kansas, not because UI is some middling stepping stone)
Midwest guy who you know will stay at Illinois with proven track record, proven recruiter, and you have to realistically ask yourself this question; Can he bring a national championship to Illinois.
No offense, but this is the most overrated, unnecessary criterion ever. If you are a very successful coach at Illinois, especially a great recruiter with a track record, you will always have schools like KU, UK, DUke, UNC, UCLA, etc. or the NBA, that will come after you. You deal with it when time comes, and even if you lose the coach to one of these schools, you go out and make another great hire.
Self did very well while here and left the cupboard more than full. The reason we are in this predicament is not because of Self, but because we hired as the next coach someone much less talented who would have stayed at Illinois forever.
There is not a single great coach, great recruiter, with a track record who will come to Illinois, have great success, and you can guarantee that he will stay at Illinois. There is no such guarantee.