A couple of years ago, we were invaded by mice. At first I wanted to trap and release them. The first one we managed to catch I carefully took outside and let him go. The neighbors cat had him in 30 seconds flat! After that, we went with poison. Sigh.
Same thing here with squirrels. A couple years ago, I was totally overrun by them. I first trapped them, drove 5 miles out and dumped them. I finally gave up with that waste and threw the trap, squirrel and all, in a large tank of water. Saved a lot of fuel.