Personally, I like double action-revolvers for fun,,,
The problem with a revolver over a semi-auto is cost,,,
There just aren't that many quality .22 double-action revolvers being made.
Smith and Wesson makes the Model 617 new for around $940,,,
They make the "Classic" Model 17 and Model 18 for just over a thousand each.
Charter Arms makes the Pathfinder in .22 LR,,,
My lady friend has the snub-nose version and it seems like a fine gun,,,
She shoots the heck out of it and so far (over 3 bricks of ammo) It's performed flawlessly.
Taurus makes a few models but having been bitten by their lack of quality control and an indifferent warranty repair department I can not personally recommend any Taurus product.
I own two Taurus revolvers, one of which is a fine gun,,,
The other was bad out of the box and Taurus will not fix it properly.
Here are the top five semi-auto pistols on today's market:
Actually there are many more fine guns aout there,,,
But I am assuming a price range around $300 to $350
Here they are in no particular order:
Smith & Wesson 22A - Nice gun with a fat grip.
Browning Buckmark - Nice gun with a funky grip,,,
Ruger MK II or III - Nice guns with a Luger-ish grip,,,
Beretta U22 NEOS - Nice gun with a very slender grip,,,
Ruger 22/45 (MK II or MK III) - Nice gun with a 1911-ish grip,,,
Everyone on this forum has a favorite from these five guns,,,
I own three and have shot a lot of rounds from all five,,,
The best thing for you to do is to handle them all,,,
Pick them up and see which makes you smile.
Now back to revolvers,,,
You can find a S&W Model 17 or 18 on the used market,,,
They are essentially the same gun with the Model 17 being 6" and the Model 18 being a 4".
These are two of the finest revolvers ever made,,,
But even used they will run anywhere between $400 and $700.
I own a model 18 and of all of my more than 20 handguns,,,
it is my absolute favorite .22 handgun to shoot.
Lotsa luck choosing,,,
Have fun.