WellMed Medical Management Share: Health & Wellness WellMed Medical Management Visit Website Request Info 706 W Ben White Blvd. Suite 145A Austin, TX 78704 (512) 618-5156 Facebook Instagram About Map About George M. Rapier III, MD, founded WellMed in 1990 as a single clinic in the Medical Center area of San Antonio, Texas. His idea was simple: deliver proactive, preventive care and build strong relatio What's Nearby? Distance: 5 10 15 20 25 50 mi.