Sounds like it is the "Reverse Uno" Ivy League school.
It’s been a while since I did a deep dive into the Catherverse CSA, but I’ll give my best guess.
Bob Jones University had its share of influential Confederates who entered political and military life. It is a training ground for CSS; I believe Grayson Allen, who in this timeline and in the real world played basketball at Duke, was training to become a CSS agent in this timeline.
The Ivy League equivalents in the CSA I presume would include Duke University; University of the South (a.k.a. Sewanee); Centre College in Danville, Kentucky; and Emory University in Atlanta.