In the arctic standard bear protection is a five shot bolt action 30.06. You'd load them with three FMJs to scare the bear away and two hollow points in case that didn't work.

The truth about predators is they aren't interested in dying for their meals. Prove to them that approaching will be deadly to them and they won't approach. You don't have to kill the entire pack, you just have to kill or wound one, or even just blast some rocks in their path.