If hunting big game is your primary purpose for this revolver, and you can handle the recoil, then go with a 44 magnum.
If you're mainly looking for a handy all around carrying revolver that'll be used for protection, plinking, and busting pests around camp, then I strongly suggest a 357 magnum Blackhawk. This revolver in stainless with a 4 5/8" barrel will take any kind of enviromental conditions, and will easily handle anything you'll encounter around camp, while hiking, or any truck, or trail needs you'll encounter. It'll also, with full house 158g SP loads take deer cleanly up to 50-60 yards if you choose to do so with it. It'll also be a joy to pack around with you on your daily wanderings which means a lot after several hours of carrying it.
What ever you decide to get, make sure it's a revolver that feels good in your hand, and that you can shoot a lot with no problems. The biggest baddest revolver in the world ain't worth a hoot if you miss what you're trying to kill with it. I personally hate heavy recoil. I don't even like the recoil of full house 357 loads(it's more the noise for me), so I shoot mild loads in mine all year except for deer season.