I grew up hunting that exact terrain in BC and would definitely go .308 for ammo availability and recoil. You will seldom get a shot on anything outside 100 yards because, well it’s a rain forest. Even if you did decide to go on an alpine hunt you will still have plenty of reach. A stainless T3X with barrel chopped to 20 inch for added maneuverability would be a one and done choice for all game you listed.