No doubt in the 338 being a good choice for Alaska, as long as the rifle shoots accurately and you shoot it well.
As others have suggested, I would find a better bullet that shoots well in your 338 rifle. There are many better bullet choices for this hunt than the Core-Lokts, which I put near the bottom of the list. I know that is a debated topic...no offense to others.
I hand-load my own ammunition, so my choices are numerous. That said, I'm a long-time fan of the TSX's. They have always performed well for me over the years with Alaska big game...and will be going with me again in the fall. As suggested previously, if you can find 225 TSX's or 250 TSX's that shoot accurately out of your 338 rifle, that would be my choice.
Caliber and bullet preference for various game and hunting applications are always debated topics. Bottom line...accuracy is first and foremost.