Agree with @Booger here, no one has been upset about those boarding schools until the last half-decade. Why would McCallie or Baylor volunteer to play a national schedule @FBfan26 ?
You ain't from around these parts or ain't ever visited on a Friday night in the Fall, so hear it from someone who has... those two schools care about one thing when it comes to football. Beating the crosstown rival... and for the past half-decade if you win that game, you're in a spot to win a gold ball.
When I meet grown adults in Chattanooga and get to talking, they ask "Where did you go to school?" I always reply UTC for undergrad and Vanderbilt for grad school. The response is always "No, did you go to Baylor or McCallie?" It's different around here, man. This quite literally is life.
I imagine they both care zero about playing schools like IMG Academy, Bishop Gorman, etc. What would either gain from that?