Cleburne, United States offers 1 beach perfect for sunbathing, surfing, swimming, and more. Cleburne is known for the Chisholm Trail Outdoor Museum and the Cleburne State Park. The best time to travel to Cleburne, United States, is in the spring (April to May) when the average air temperature is around 70-80°F and water temperature in nearby lakes is approximately 65-75°F. Sandee provides detailed maps, photos, and reviews from fellow beachgoers to help you Choose Your Beach™ and plan your perfect beach vacation!