After re-reading your post....I'd go with the .22....you mentioned limited budget...Remember in a survival situation...you would not hesitate to shoot ducks sitting on the water, quail on the ground, doves in a tree...even robins and blackbirds make great table fare and a .22 is easily capable of taking squirrels,rabbits,groundhogs,raccoons,possums even deer, when hit between the eyes or just behind the ear.

Actually I would also be setting rabbit boxes and fish traps. I have seen quail,doves,robins,blackbirds caught in such fishtraps, when baited with corn....