Your 300 Win. Mag. will do just fine up here in AK. If you have the itch and can afford a new rifle or two, I would think about getting a 338 Win. Mag. or a 375 H&H.
And there is hunts that require tags for brown bears, like Kodiak and the SW part of the state as another member already posted, but the majority of brown bear tags are over the counter, and most hunts are year around.
Seems like you'll be moving to the state when I'm moving out!
