I would take a 10mm auto over even a 44magnum. 16 rounds in a easy to shoot gun is a no brainer. As a hunter that has killed many whitetail with handguns. A 10mm has more knock down power than the 357magnum. I won't use a 357mag anymore on deer and most professional handgun hunter agree and consider the 357mag a very marginal caliber for deer hunting.
I can't believe anybody that has hunted with the two calibers would even debate the two.