Seems that we are forgetting what seems to be a more and more Popular Caliber here lately. .338 Lapua Mag. maybe not where you are at, but the last couple places I have lived, it is making a strong showing. Powerful and dadly accurate. Versitile enough for ust about anything.
ARMALITE .338 LAPUA MAG.
This can be loaded with a nice light bullet for smaller game like deer, all the way up to ice heavy bullets for Elk, or Bear. It comes with a muzzle break, shoots like a .243, and out of box accuracy that is hard to beat.
For now, that is my hunting rifle. Sure, a bit heavy, looks like a military gun, but, shoots the same bullets as the "Hunting Rifles"

SO it is just as easy to shoot as the lighter calibers. This being said, you can get the practice you need to be confident, and competant with this big gun. Once you are competant, you don't have to worry about just a wounding, and losing your game. It just drops.