I agree composting in Northwest Alaska during the winter (Oct- May) is a challenge.
But I have found a few good solutions that work for me.
I have a worm house in my entryway, which works great for most of the compostable kitchen scraps.
I also puree all my egg shells and they LOVE them.
By planting time (mid-late June) I have some beautiful worm castings, which I mix into all beds and I also sacrifice a handful of worms to each raised bed and each compost bin, knowing winter will be the end of them. That said, this spring while emptying one of my compost beds I found a live worm!!
Poor little guy.
What worms do not like or can not manage to transform (onion, coffee grounds, citrus) gets put into my greenhouses to over winter. I water it well and cover it with black weed cloth. Keeps moisture in and makes heat.
It may be cold but when the sun shines along with the black material it does a great job of composting. By planting time it is prefect compost.