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Ditto what Jim said. If it's an Air Force base, your chances are slim. If it's an Army post, your chances increase to "maybe".

Call the Law Enforcement Center (what used to be called the "PMO", Provost Marshall's Office), and explain your situation, and ask what their post policy is.

While you're at it, check with the Rod & Gun Club (there's almost certainly one there). They'll be a good source of advice.