I've lived and worked on the Russian tundra above the Arctic Circle - where apparently the mosquito swarms put Alaska's to shame. Having never been to AK, I cannot say.
However, we did learn how to deal with mosquitoes and mosquito-born illness. Definitely second Flounder's no-DEET call; it does eat through everything when used for multiple days, and as I'm a photographer won't use it near the camera. Seen too many camera bodies chewed up by the stuff.
I did use a non-DEET repellent religiously; it was Russian and have no idea what was in it, other than no DEET. Mosquito coils were burned in all the buildings, at the entrances, and if we were on a expedition, we brought several to burn during breaks. Making sure the body is fully covered (long sleeve, long pants, hat, big sunglasses, gloves and Buff are crucial. A rather inventive Russian made his assassin-looking face mask...) My ExOfficio bugs-away clothing was worth a hundred times what I paid for it. Seriously.
In the field we would often sleep with mosquito netting just draped over our bodies and coils burning nearby. If you do not have a frame you can make a real mosquito "tent" with, this is the next big thing.
Unfortunately, we had visitors from tropical countries and they brought in some kind of a malarial strain, and several of us became ill. I would not wish that on my worst enemy; certainly an experience I am not in a hurry to repeat. Makes one certainly appreciate preventative care.
Enjoy the trip and, most of all, have fun!