I don't think that any team that hasn't sniffed a Final Four and earned/competed for multiple conference titles in the last five seasons should be considered "elite". The only other elite teams on your list by those measures would be Stanford (though they may be in decline), NC State, and LSU (we know which team stops them from winning SEC titles).
And based on the teams listed, I'm not sure why Iowa, Louisville, Virginia Tech, or Baylor weren't included (not definitively calling them elite, but they're more elite than most of those teams listed).