Vermillion Medical Clinic . 101 South Plum Street, Vermillion, SD 57069. For Appointments: 605-624-8643. Fax: 605-624-2362. Clinic Hours Monday-Friday: 8 a.m. - 5 p.m. ConvenientCare Hours. Monday - Friday. 5 - 7 p.m. After hours, ConvenientCare telehealth appointments available by calling 605-665-7841Yankton Medical Clinic‧Find a Provider.