A Benjamin .177 pump will do the trick - the newer 397 works well enough without breaking the bank. But anything pushing a pellet at 1,000+ fps range will work. A lot depends on the range you will be typically shooting. More pellet weight traveling at a higher velocity always makes for a better hunter rifle so stepping up to a .22 isn't a bad thing.
https://www.pyramydair.com/product/benjamin-multi-pump-air-rifle-black-kit?m=4942
