Have had good luck with electronic traps. Caught mice and a couple of rats that were hanging around our driveway and chewing up car cables.

I got one with wifi that sends a message when it caught something. Good for out of the way spots. Trap with peanut butter. For deterrence, ended up spraying the area with capsicum pepper spray.

https://www.victorpest.com/store/mouse-control/electronic-traps