Many of the Catholic schools do not have Greek life. Business, small to medium-sized, urban or urban-ish, I might offer St. Joseph’s, Loyola MD, Scranton, Siena, Seton Hall.
Duquesne is in a good location near downtown Pittsburgh. Drexel close to downtown Philly. Go Midwest you get smaller urban schools in DePaul, Loyola IL, Marquette. South and urban is tougher, you have College of Charleston, price works but higher on the party scale.