Dillon Family Medicine. 603 N 6th Ave . Dillon, SC, 29536. INSURANCE PLANS ACCEPTED . Please verify insurance information directly with your doctor's office as it may change frequently. LOCATIONS. Dillon Family Medicine. 603 N 6th Ave. Dillon, SC, 29536. Tel: (843) 774-7336. www.dillonfamilymedicine.com. More › 320 People Used More Info ››.