Is there a lot of hotels in the San Antonio area you better off just getting a hotel off the main drag and driving the 5 or 10 minutes it takes to get to the shooting range make sure you bring your weapon inside your hotel and leave it there and do not leave it in your vehicle! For it may get broken into .vehicles at shooting range get follow them and steal guns this happened to two of our Shooters last year
The closest would be the Fairfield Inn and suites 80$ a night, the cheapest Motel 6 at 50$ a night, and the high end accomadations would Hyatt Regency at 259$ a night.
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