About Rio Family Medicine. Rio Family Medicine is a group practice with 1 location. Currently, Rio Family Medicine specializes in Family Medicine with 2 physicians. ... Rio Family Medicine. 889 Rio East Ct Ste B Charlottesville, VA 22901 (434) 978-7100. Monday : 8:00 AM - 5:00 PM: Tuesday : 8:00 AM - 5:00 PM: Wednesday : 8:00 AM - 5:00 PM ....