Cub Run, United States offers 1 beach perfect for sunbathing, surfing, swimming, and more. Cub Run, Kentucky, United States, is known for its proximity to Mammoth Cave National Park. The best time to travel to Cub Run, United States, is in late spring or early fall when the average air temperature is around 70°F (21°C) and water temperature in nearby lakes is approximately 65°F (18°C). Sandee provides detailed maps, photos, and reviews from fellow beachgoers to help you Choose Your Beach™ and plan your perfect beach vacation!