Charleston, SC Hospitals East Cooper Medical Center East Cooper Medical Center in Mount Pleasant, SC. Medical University of South Carolina Medical University of South Carolina in Charleston, SC. Ralph H. Johnson VA Medical Center Ralph H. Johnson VA Medical Center in Charleston, SC with clinics in North Charleston & Goose Creek. Roper St. Francis Roper St. Francis with locations in Charleston, Mount Pleasant and Summerville, SC. Summerville Medical Center Summerville Medical Center in Summerville, SC. Trident Medical Center Trident Medical Center in Charleston, SC. Vibra Hospital of Charleston Vibra Hospital of Charleston in Mount Pleasant, SC.