If it is for plinking only, I'd highly reccomend sticking to a double action with swing out cycinder. Look for some used High Standards, or maybe even a Taurus if you are stuck in that price range,
A swing out cylinder is a lot more fun( read quicker to load) than a single action.
That's a matter of opinion and highly debatable. The first handgun I bought with my own money was a Uberti Virginian .22 convertible when I was 12yrs old. It was years later that I added a couple K-22's (17 and 18) and my rimfire single actions have seen WAAAAAAY more use than any of my S&W's. If a Single Six ain't fun, you're doing something wrong. For me, there are plain few things more fun than a .22 single action.