Cocoa Beach is not home to any alligators. You can find alligators in the Everglades which is more than 100 miles away. The east coast of Florida is not home to alligators. Only the American Crocodile is a crocodilian found along Florida's east coast. They are found only in the state's southernmost tip. If you are looking for an alligator in Cocoa Beach, then you won't be disappointed.