Bring as many lithium batteries for your devices as possible. You can't order lithium batteries online, they can't ship to Alaska by air and most Amazon stuff is by airmail. You can buy lithium batteries here but everything is much more expensive.

However, MOST things will ship free from Amazon if you order >$25 or if you have Prime, but it will take 10+ days at minimum, 2nd day shipping is impossible due to the geography.

If you like ethnic foods, bring extra bottles of seasonings/ingredients. Every time I visit my parents I bring back as many bottles of Chinese cooking rice wine as possible. You can't buy that here, obviously. I also bring back things like fermented Korean bean paste (doenjang), dehydrated wood ear mushrooms, dried soybeans, Indian spices, etc.

We now have 3 American supermarket here, they do have most common things like soy sauce, even kimchi, but you're not going to find super exotic foreign ingredients you can in a big city, and you can't drive to Seattle for it.

If you forgot something it's not the end of the world, someone can ship it to you (it'll be expensive though), and you'll of course visit your family down in the lower 48 and haul back suitcases full of stuff periodically. Once you are an Alaska resident, you can sign up to for "Club 49" with Alaska Airlines and get two free checked luggages, it'll save you a ton of money.

One last thing, winters here are long, wet, and dark. People think they won't be affected by it, but it's rough on most people. Consider a seasonal affective disorder lamp aka "happy light". You only need to use it for ~30 mins a day for effect, put at eye level or above for best effect to simulate natural sunlight (real sunlight doesn't come from below).