Sounds like those experienced at snuffing varmints are mostly on the same page.....which is another way of saying we may be preaching to the choir. Those wanting to dispatch varmints are, for the most part, already prepared and experienced at doing so. The Little Badger was new.
But for those lacking experience and a weapon to do the same, you should now have some ideas on what others use. Aside from buying new, you can also look at gun shops and pawn shops and other places for similar guns from Remington, Winchester, Savage, Stevens, Ruger, Rossi and who knows how many other past and present .22 rifles.
The single shot bolt action rifles get mentioned a lot as they allow you to shoot the smaller, quieter, shorts. Repeaters often only handle long rifle shells, which are faster, louder and more powerful. Few may be aware of this, but when farmers take a 1,500 pound steer to a butcher house, the guy out back who puts him down prior to slaughter, likely as not, will put him down with just a dinky little .22 long rifle shot to the poll. Drops like a rock. So these are not toys.
So an extension of this, if you do get yourself a weapon, be aware of how dangerous this thing in your hands can be. This has serious implications.
So far, we have been talking about shooting a trapped animal at close range, which likely as not, means shooting straight down at a steep angle, and parking the bullet in the animals brain pan. Some will try to use the same gun to shoot free roaming animals at a distance. That now means a horizontal shot. Had this discussion a few days ago with son and grandson of a neighbor who was going to use a brand new .22 to go squirrel hunting. In the local woods. While it may seem like this is a rural area.....and farm in question was 40 acres......distance a .22 long rifle will carry is much farther than that.
With respect to Longfellow....."I shot an arrow into the air, it fell to the earth, I knew not where". The same could be said for a .22 rifle shot into the top of a tree that misses it's target and flies off somewhere into the distance. There is no place around me within 10 miles that I could shoot a gun like that into the air without risking having it fall to the ground and hit somebody, somebody's livestock or their house or other property. No place.
About 40 years ago, a guy we knew took a shot at a rabbit that was in his garden. Shooter was at the bottom of a slope, shooting up a gentle hill.....he missed high.....bullet flew past rabbit, over an Interstate highway......and came to rest in the brain pan of a lady out in her yard and killed her dead where she was standing. True story. He was convicted of manslaughter and went to prison for it. Total accident, but didn't matter. He was determined to be reckless and negligent and they held him responsible for her death.
The point being, that while a .22 rifle works for some jobs, it is not appropriate for others. One other being using it on fast moving varmints in the yard or at a distance in any kind of populated area where there is a risk of an errant bullet leaving your control into "I know not where". A shotgun is often times the better choice for that.
So some of have equipped ourselves with both....shotgun and rifle. And we use them safely.......or don't use them at all.