I shot my Brown Bear a few years ago out of Illiama in SW Alaska. He wasn't the biggest bear, but he had a beautiful Toklat color hide. I used my .375 RUM with 281 gr Hammer bullets. I have had that rifle for almost 20 years and just used it previously on a couple of African hunts. It has a 26" barrel plus a KDF brake, and I had absolutely no problem carrying it in Alaska. My guide carried a .300 WSM for his back-up rifle.
Entering an alder patch with that rifle would be insane. Obviously, you were leaving that for the guide...