Save yourself some money on ammo and trade to a much smaller chambered rifle. In todays world only shot placement matters. A .338 is WAY overkill for anything in North America, even for Africa.
OK...ok....I'll apologize now before I make anybody mad. I'm just yanking a few chains...I'm not serious.
I would second going with the SST. Core-lokt's have been out there for a long time but I've never got them to fly very well and every once in a while they seem to shatter without much penetration. I can't explain why and it hasn't happened to me often but it has happened a couple of times.