CoxHealth Branson Hills Clinic Address 1601 Branson Hills Parkway Branson, MO 65616 location Get Directions Phone: 417-348-8964 Hours Monday – Friday, 7 a.m.–5 p.m. Holiday hours may vary. About CoxHealth Branson Hills brings multiple services to one convenient location, including primary care, a diabetes and endocrinology clinic, occupational medicine, and on-site radiology and lab services.