Call the club contact and explain your situation, then see if there's something you an work out short of a full membership fee. That's what I'd do, and what I'd expect someone else to do if they wanted to fly at our club while on vacation/visiting relatives/etc. But don't expect open access simply because you have an AMA card, that's simply absurd. As an AMA member I full expect to have to follow club rules if I visit someone else's flying field. It's always been that way, and that's the way it should remain.