UND would be able to host, as it would be a conference tournament. If they win the conference and move on to the Big Dance, the hosting part doesn't become a concern, but they couldn't have Sioux or the logo on the uniforms. I don't think they have them now anyway.
The hardest hit by being put back on the list would be football, as they would be the only ones who would be able to host an NCAA post season event that I can think of.