Don't see where you're located in your profile, but might want to be careful. In Michigan, only rimfire rifles are allowed for small game hunting or shotgun/shotshells.
Ky changed to the following a few years ago. Until the change, a .32 H&R and a .22 Hornet were my chosen small game stalking arms. Now I find I prefer either a .22 Magnum or my .22 cal Pellet rifle
LEGAL SMALL GAME
EQUIPMENT
Hunting small game with
slingshots is prohibited.
Hunters may ONLY use the
following to take small game
during the fall and winter
seasons:
• Rifles that shoot rimfire
ammunition, or .22 caliber
handguns.
• Muzzle-loading or breechloading shotguns no larger
than 10-gauge. Breech-loading
shotguns must be plugged to
hold a maximum of three shells
(two in magazine and one in
chamber).
• Lead or non-toxic shot no
larger than number 2.
• Muzzleloading rifles.
• Archery or crossbow
equipment.
• Pellets fired from .177, .20 or
.22 caliber airguns.
• Dogs may be used to aid in the
hunt.
• Falconry