As a non-resident you must have a guide to hunt brown bear, sheep, goats and I think musk ox. The guide must either be a registered guide or a resident relative of no more than second degree of kindred (in-law, cousin or closer). To be a resident you must have maintained a residence in the state for at least 12 months (and I think you have to be physically present for at least 9 of those 12 months and plan to stay indefinitely?).