The farmer is probably using Conibear body traps. You can put them in a hole, blocking it, & it can get them by the neck or body as they go through. These traps are dangerous to handle & you have to make sure domestic (pets) dogs & cats don’t have access, or any other animal you don’twant to kill. There are also laws in some places that apply to these kill traps.
I wish I could use them, but the neighbors have cats that visit & while they aren’t likely to go in a hole, I don’t want to chance it.
That makes sense. They can easily be hit with a .22 as long as they don’t see you first. Good luck!