My answer would get me fired in a week as athletic director: to basically starting to deemphasize football and shift NIL and coaching salary money to hoops so you can try to make a final four run. Yes, I think this is possible in the NIL era, I wouldn't be shocked to see St Johns or Marquette there, NC State did it last year somehow. We are clearly never going to become Georgia or Ohio State in football EVER again and we just spend there because of nostalgic alumni.
Anyway, if we don't shift more resources to basketball (which is unlikely because it's a football town and the school is subsidizing athletics in an unsustainable way), then making the tournament 30% of the time is probably the range.