Most of the shotgunning I have done has been in New York. And shooters will always let you shoot their guns if you have demonstrated that you are safe and not a jerk.
Clay target shooters, skeet and sporting in particular, are gentlemen and always willing to help new shooters out. And most are willing to convince you that their gun is what you really need.
Rifle and pistol shooters, and Trap shooters, tend to be jerks.
My SC shotgun is worth more than my car, but I never hesitate to let other shooters have a chance to shoot it, although I usually ask that they use my ammo, and am always nearby.
If you shoot skeet, other shooters will let you have a shot or two unless you are a complete jerk or violate safety rules.
Best way is to ask about the gun they are shooting, how they like it, why did they choose it etc. Tell them you are new and looking for the right gun. Invariably you will end up taking a target with it.