For informal target shooting such as you describe, I am not exaggerating when I say that any S&W revolver with adjustable sights is perfectly suitable. You just need to decide what your preference is for caliber and barrel length.

As has already been noted, in formal target shooting there are usually rules describing the guns you can use. So if you're wanting to get in to any of the shooting games, you should research what's allowed and what's not.

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Pisgah