Lee Memorial Hospital. 2776 Cleveland Ave Fort Myers, FL 33901. Get Directions. Phone number (239) 343-2000 View Details. Gulf Coast Medical Center. 13681 Doctors Way Fort Myers, FL 33912. Get Directions. Phone number (239) 343-1000 View Details. Cape Coral Hospital. 636 Del Prado Blvd Cape Coral, FL 33990..