AF, at the time our son got recruited, the D3 program was an absolutely "no name" to us and most everyone in his school It was also a "no name" to what turned out to be his roommate, recruited from Northridge. Our son went on to be drafted from the D3. His roommate is now with the FBI. The school's baseball program is now the top ranked program in D3, thanks in part to the contribution of BOF's son..
I think I understand what you might have meant about name recognition but it is also the reason so many on the West Coast end up missing so many great colleges and universities as they "fly over" to the East coast. Just a thought because the schools I mentioned in the SAA are every bit the academic equal of Oxy, CLU and others on your list.