Hunting with dogs is as natural as it gets. The first human hunters used dogs. In fact without dogs, our forebearers wouldn't have advanced their diets from berries and grubs to venison. Without that nutrional advancement, we would probably still be in caves.
The only big game I have ever hunted with dogs is wild boar. I did it once, let me tell you it was one of the most exciting hunts I ever did. Anyone that tells you that dogs give humans an unfair advantage have tried it.