Wellmed At Plant City. 507 W Alexander St. Plant City, FL, 33563. Tel: (813) 754-3504. www.wellmedhealthcare.com. Accepting New Patients ... Tue 8:00 am - 5:00 pm. Wed 8:00 am - 5:00 pm. Thu 8:00 am - 5:00 pm. Fri 8:00 am - 5:00 pm. Sat Closed. Sun Closed. Accepting New Patients ; Medicaid Accepted ; HOSPITAL AFFILIATIONS. South Florida Baptist ....