Nothing much wrong with the old Ruger Mk III, is there? An S&W 617 is good also, if not a tad heavy. Too bad they don't still make the 4 inch Model 63. Three inch is too short and 5 inch is too long, in my opinion.
I suppose, for the use you are indicating, a Ruger Single Six is a decent choice also. As to the Ruger SR22, it is nice, but the idea that you can easily replace that friction fit grip is a bit optimistic! Fortunately, it seems to fit most hands without having to attempt removal of the one they put on when they ship the pistol.
Naturally, there are quite a few older S&Ws that would fill the bill. The 6 inch K22 comes to mind as does the 4 inch Model 18. The new Classics of these, if you can find them, are also good.
I am not particularly a fan of the little J frame Airlights in 22. Those little J frames make nice understudies for the 442/642, but they are just too light for target type shooting - for me anyway, they just don't lay out there on target the way a heavier gun will - sort of balancing out any tremors that you have, which to me anyway, seem amplified with the very light weight little guns. In addition, the barrels of those J frame Airlights are too short for good effect in the woods. Easy carry, but harder to shoot with.
Don't overlook a 1911 with a 22 Conversion kit. Very nice if you are a fan of the 1911. The S&W 22A and Model 41s are also good shooters, and should not be overlooked. The 22A is a fine little pistol and does not, in my opinion, get the respect it deserves. The 41 is as good as it gets, but some would balk at carrying it in the woods.
Those are some ideas for your particular needs.