For overall sorting of schools, I’m in agreement with your categories. For the schools that have separate entry into the business programs (Cox, Farmer, etc), I honestly don’t know. If you haven’t already, I’d review the results threads for the last year or two to see what you think of your son’s chances for the business schools.
If you’re looking for a safety, has your son considered U. of Dayton? It’s not far from Miami of OH and many people who like Notre Dame like it. Alternatively, if you’re thinking that 3 likelies = 1 safety, then has he considered Texas Christian? It seems to go with the vibe of the other schools listed.
Has your son visited any of the campuses yet?