I spent this past summer in Alaska, and got my fair share of hiking in around an otherwise busy schedule. Since I was there for school, I didn't have the luxury of taking any of my guns with me, but never had need of one. I never felt under-gunned with my wits and a can of bear-spray.
If I were to go back on my own accord, since I generally like toting a handgun with me anyway, I'd take along my S&W 625MG loaded up with some heavy 45LCs.
“There are three reasons to own a gun. To protect yourself and your family, to hunt dangerous and delicious animals, and to keep the King of England out of your face.” - Krusty the Clown