The too-often overlooked ones....
If I were to hunt with a .22 handgun, I'd go with an H&R 676 or 686 (fixed or adjustable sights.) They're both the same except for the sights and are convertible double-actions. The single action trigger pull is quite nice and the double action pull is perfectly fine. No, the DA pull not as good as that on a S&W but it's pretty good, nonetheless.
They come in all sorts of barrel lengths. I've owned three and still have one. The two in the photo, with 12" and 5.5" barrels, I've sold, but I still have the one with a 7.5" barrel. They also had ten inchers, too. These things are tack drivers of the first order. The 12" was atounding but it was a little big for my tastes. I seriously recommend one of these with a 7.5" barrel. Any longer and the gun becomes unwieldy and, any shorter, the magnum rounds lose too much velocity for my tastes.
They're on Gunbroker et al all the time and mint ones still go for around $300. I paid $200 for the shorter ones and $300 for the big one (in the box, unfired, with all the original papers and wrapping.)
BTW: I had a 9.5" Ruger Single Six Magnum Model made in 1961. Although the gun was gorgeous, my 7.5" 676 was noticeably more accurate. The groupings were definitely smaller and unlike many convertibles, I didn't notice any drop-off in accuracy when shooting .22LR. I would like having the DA capability in case I had to defend myself.
There's a guy here, Jamesjo, who has a ton of these. Maybe he'll chime in with some pictures.