What team prior to joining the Big Ten, the team was a member of the American Athletic Conference, had a head coach who moved on to become the head football coach at Columbia University?
Bob Naso:  After spending two decades with his alma mater, where he also played football and lacrosse, Naso moved on to become the head football coach at Columbia University. Rutgers Scarlet Knights football: The Rutgers Scarlet Knights football team represents Rutgers University in the Football Bowl Subdivision (FBS) of the National Collegiate Athletics Association (NCAA). Rutgers Scarlet Knights football:  Prior to joining the Big Ten, the team was a member of the American Athletic Conference (formerly the Big East Conference) from 1991 to 2013.
Rutgers Scarlet Knights