First of all: DO NOT consider a 10mm for wilderness protection. (
Look at my user name, and I'm telling you to get at least a 44.) The 10mm, in my opinion, is the ideal personal defense caliber for use against humans, and it will do double-duty as a lower-48 deer and hog cartridge pretty well, but it is NOT a bear cartridge. In addition to the caliber inappropriateness, I would prefer to have a revolver in the wilderness.
Next: I believe the truth about self-defense in the wilderness in Alaska (and a few other areas) is that
Moose are more dangerous than Bears. If you are smart and prepare yourself, you can avoid most encounters with bear and moose, but the moose tend to be more in areas where interaction with humans happen, so statistically, you'll run across them more often. And, Moose are just crazy mean. Worse than bears. So, I'd think hard about stopping Moose at least as much as I would worry about bears...
Last, I love Elmer Keith and there's no question he had a LOT of experience with wildlife of all kinds, including bears, but there have also been changes that have happened since he last wrote in 1981. Still, some of his experience is illustrative and helpful, so I'd go to:
http://www.elmerkeithshoot.org/GA/ , scroll towards the bottom, and read the series of EK's articles about Black and Griz.