As a graduate of a Catholic grade/high school and a Catholic University, I cannot say that there are any Catholic institutions of higher education in the USSA anymore. My own alma mater, which used to be a good Jesuit university, is as liberal as most public school of indoctrination - formerly called colleges/universities.
Christendom, Thomas More College of Liberal Arts, Franciscan University of Steubenville are still quite Catholic. As far as I know they still follow the Pope.