Well, first of all you need to define your level that qualifies for "inexpensive".
I had 3 of the cheaper rimfire revolvers before I managed to get a S&W 17 and an old 3 screw Ruger single six. None of the cheapies shot anywhere nearly as accurately as these two major brand models. I've still got two of the cheapies. One being a top break H&R and the other I want to do some smithing on it when my shop is back up and running to see if a new cylinder pin that reduces the massive slop in the cylinder will improve the accuracy. I'm only keeping them for the uniqueness in the one case and project status of the other. It's the S&W and Ruger that get the range time because they shoot more accurately and make me look good...
The new Pietta rimfire guns look very desirable. I've got two Piettas in .357 that I use for cowboy action and the fit and finish is excellent. So their rimfire guns should be darn nice as well. But I don't consider the price they are asking for them as "inexpensive".
Consider too that the difference between "inexpensive" and "good gun for the money" is about another $100 between the cheapest possible and a gun with a known good reputation for accurate shooting.
For single action revolvers this means Ruger is the major choice with Pietta as a solid second choice based on my center fire Pietta guns and the other Piettas I've seen used by my shooting buddies.
For double action swing out guns there's not a lot of options. The S&W 17 or K22 is just about king of the hill. But they command a pretty penny. The only option is the recently introduced Ruger SP101-22. But good luck finding one.
If you can live with a semi auto instead the price picture is far more rosey. There's the Ruger Mk guns, Browning Buckmark and S&W 22a. These all shoot very accurately, handle crisply and have a good long history. There's also a fair number of newer guns that are rapidly gaining a solid reputation. The GSG 1911 and the S&W M&P being two examples.
There are a lot of other guns that folks have found work well but which have enough examples with problems that it suggests that each needs to be tuned before they'll work reliably. The Sig Mosquito being one such example. Lots of problem reports but then again lots of folks that find they work like a Timex watch.