I have a second hand BSA super10 that is perfect for vermin control. It’s incredible accurate with a Hawkes scope, and an FX foot pump takes the hassle out of recharging . Regarding accuracy, use a bipod or a shooting stick to ensure you have a stable platform, I’ve got this one for standing shooting:
https://www.amazon.co.uk/Nitehawk-Ad...x=niteh&sr=1-5