The Wolf Cave area is non-pvp and not terrible once you learn where the dire wolves are, I’d suggest that you don’t take your best gear until you figure out the map though
I *think* parts of snake pit might be non-pvp, and all of Wellington is (though the worst monsters there are slimes and skeletons and it might get old fast). Depending on whether the UW is heavily travelled on your server you might have good odds of not being found down there as well.