Big Horn Armory makes outstanding lever action big bore rifle in pistol cartridges such as the 500 S&W. The standard wood would be extra fancy at minimum. Exhibition grades are phenomenal with an up charge.
BHA just makes Me a better Hunter since the range is more limited which is not a bad...
I would definitely go with a Control Round Feed action... the only question is the stock choice: synthetic, wood or laminate.
I would start with the Winchester Model 70. It will serve you well on any continent.