Medical Facilities Copperas Cove is served by three major health systems and a selection of local clinics. These top-rated organizations serve patients with cutting edge research and technology and state-of-the-art treatments. Hospitals Advent Health Rollins Brook Community Hospital Baylor Scott & White Medical Center Carl R. Darnall Army Medical Center Seton Medical Center Clinics Baylor Scott & White Clinic Cove House Free Clinic Family Medicine Clinic Integrity Urgent Care Clinic Other Health Care Services ACE Dental Benchmark Family Dental Cove Family Dental Cove Total Dental Cove Eye Care Texas State Optical Copperas Cove Nursing & Rehabilitation Hill Country Rehab & Nursing Hope Pregnancy BPL Plasma Integrity Rehab + Home Health