I hike with a .41 Mag as there is a chance of grizzlies, plus a lot of moose where I live. When I hiked in the Sierras with only black bears and cougars I usually didn't even carry, but later started hauling my .357 with me, mostly for the cougars. I've seen so many black bears, I really don't worry about them, and don't see them as much of a threat. Nowadays humans worry me much more than then.
Where I'm at in Idaho I'm more worried about moose, they can get mean and I see them all the time, but for me any firearm is the last step against critters. I went to the .41 Mag just because it was that or a .44 Mag for penetration with hard cast bullets (didn't want the bigger cartridges like a .454 or .480), but if there were no moose or grizzlies, I'd pack only for two legged critters and I think both of your choices would be fine. Being 2 or more miles off road and coming upon a crazy or a bad guy is much more of a concern IMO.