I like my Ruger 77-22 for both squirrel and rabbits. I can stroll into the woods and set down and with in a hour or so fill my daily limit using hollow points and taking head shots.
Don't hunt rabbits with a dog so taking it really slow thru cover and keeping a sharp eye many time see that shiny eye of the rabbit before it moves. That type of rabbit hunting sharpens the skill of still hunting deer.
But with the shortage of 22LR ammo becoming a problem for me I may end up going back to my old child hood hunting method which was a 20ga. with 7 1/2 shot. We always picked out any lead when we cleaned the game in my child hood. Not really all that hard to do.

Al