Now THAT is a cool little handgun. I've looked at NAA before, but never seen that folder.
http://northamericanarms.com/firearms/lr/lr-hg.html
4.6 oz. Wow.
Added to my wish list (about #3). I could totally carry that one as a backup that would serve for small game in a pinch. (Squirrels in woodlands near human habitation are not very wary.)
I HAVE taken small game to about 40 feet max. The sights are very rudimentary, but allow me with enough time to place 10 shots into about 7" at a full 25 yards off a solid rest. I couldn't do this without the folding grip, not nearly enough grip for my hands.
Now, if you don't mind 10 ounces or so, look into the Black Widow. It has REAL Novak sights. Mine is the magnum model, don't have a LR cylinder, but they're available. This gun will put 10 shots into 3.5" off the bench at 25 yards for me. Mine shoots to POA, not sure what a .22LR cylinder would do in it. I'd expect it to shoot lower than .22 mag, but the .22 mag Hornady Personal Defense loads are very accurate and pretty danged impressive if you believe Hornady's gel testing. It would take small game, too, but it's LOUD. The .22LR is loud enough.
As I have both and the NAA is a second or third gun, not a primary, I carry the .22LR for the lighter weight and size since the 2" barrel and magnum frame is longer on the BW. It's about the size and weight of a pocket knife when folded. I carry it weak side figuring if I'm wrestling with a guy and need my right arm and my left arm's free, screw it in his ear and blow his eardrum out. THAT has to be distracting, don't ya think?
Another you might look at which has real sights is the Pug, shorter and lighter than the BW, but with the Novak sights. These things are very well made and a hoot once you get 'em dialed in and learn to shoot 'em. They can be quite ammo picky, so take your time with it, don't lose faith, and try different ammo to find the right recipe.
I had to file the front sight down on my .22 model, but have been carrying and shooting it for about 25 yards. It is totally discrete in a pocket, needless to say. Heck, I even have the cap and ball version, the Super Companion, just for kicks, not a carry choice, but COULD be in a pinch.
One more tidbit, I change ammo out on my .22LR model weekly, especially in summer. Leave it in there over a month and you'll start getting duds from the pocket sweat moisture. The .22 magnum doesn't seem susceptible to this as it is not a heal seated bullet. I just save the old rounds and use 'em for practice after 10 weeks worth.
This may be a bit of a hassle, but it needs to be done to assure reliable ignition. The little thing NEVER misfires for any other reason, very reliable.