Bill is right, a BB gun won't do it ! A decent air rifle even at Walmart will go $100 to $150. I paid about $150, several years ago, fo ra Ruger Airhawk
with wooden stock.
Although mine is a .177, I hv eto admit that the.22 tough slower, delivers more "punch" on the target.
Frankly, I almost never use the Airhawk anymore. When I am troubled with a bothersome critter, I just use a .22 LR, with a Colibri or CCI Quiet.
One of the serious air rifles require maintenance, perhaps more that a regular .22 bolt of single shot. With a colibri, use a shorter barrel, since with a
longer barrel..24" on up. A longer barrel raises the possibility of a bullet lodging in the barrel.
A Rascal or Cricket sounds good to me, depending upon your situation. Then again, the Rascal is a sewlf-cocker with accu-trigger.