Heart Associates Of Hilton Head Llc. 35 Hospital Center Cmns Ste 101. Hilton Head Island, SC, 29926. Tel: (843) 682-4673. Accepting New Patients. Medicaid Accepted. Mon8:00 am - 5:00 pm. Tue8:00 am - 5:00 pm. Wed8:00 am - 5:00 pm..