Because of their hard shell it's going to take a very powerful air pistol. You said Gun So I assume you want a pistol not a rifle. I would recommend one of the two following .22 caliber air pistols:
Evanix Hunting Master AR6 by Evanix
Benjamin Marauder Air Pistol
Both of these are recommended for small game hunting. Be advised that the Marauder will also require a special hand pump or Scuba tank to charge it to full power.
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