Welcome to the new Big Stone Gap Tourism page! Now Taking Reservations for picnic pavilions at Bullitt Park and Carnes Gym. Call (276) 523-2303 for more info. A Town Permit is no longer required to access Big Cherry! Get out and visit today! The playground at Bullitt Park is open to the public. The Splash Pad at Bullitt Park is scheduled to open the first week of May. The Big Stone Gap Pool is scheduled to open Memorial Day Weekend.