I would look for a used S&W K-22 Masterpiece, later known as the M17. These are available on the used market for as little as $250. Great revolvers that cannot be worn out by shooting -- even though I am trying.
I've been trying to wear mine out since 1974. It still shoots minute of squirrel.
I had a Ruger Single Six combo about 10 years ago. My k-22 could shoot circles
around it. I did like the .22 mag option, though I've read that the bore size of
the barrel is a compromise to allow you to shoot both calibers.
If I could find another k-22 for $250 I'd buy it right now. The prices I've seen
lately have been between $350 and $400.
I've also been looking for a 4" model 63 S&W. Just missed one the other day for $390.
I've fired the S&W 617. Nice, smooth, accurate but not inexpensive by any means. My local shop has one, used, for $525.
I saw a S&W .22/32 "kitgun", unfired, in my local classified paper
2 weeks ago for $425. 1 day late.
My k-22 is the most accurate revolver I've ever owned. If you can find one,
jump on it.