I would think about getting a .32 H&R pistol.
It can be reloaded as cheaply as what .22 magnums cost and you can reload your own homebrewed snake shells in the Magnum cases.
The .32 S&W to the .32 Mag is like the .22 short is to the .22 mag. and the .32's only need one cylinder for all three-The .32 S&W, .32 long, and the .32 Mag.
The .22 shotshell is next to useless. Oh it blows shot, but not enough to be of any use, unless you get so close that you can stomp on the snake.
It would take handloading, but the .32 anchors any small game from squirrels to rabbits up thru feral dogs, and with one shot.
The .22 from a pistol is good for target practice, but too small and weak from a pistol for hunting, unless you relish wounding a lot of critters.
The .32 is accurate and dirt cheap to handload for. It can be loaded quieter than a .22 short and knock down any small animal as sure as a .30 cal rifle with one shot everytime and not tear up the meat.
You can't say that about a .22 pistol.
The .32 also is very capable as a self defense weapon and with the .32 Mag loads, is close on the heels of the .38 special.
Just my 2ยข