Hi @Andrey Y. I'm here in Fairbanks. Feel free to PM
Many of the interesting things about Fairbanks have already been discussed. A couple of clarifications from my perspective though:
The military here is a huge component of the town. We have 2 bases--- One Army (Ft. Wainwright) and one Airforce (Eielson.) There is also North Pole, which is essentially Fairbanks but some people count it as a separate area. Unlike some other places, it is very unlikely that the bases will close or downsize. We are in a very good position geographically and there are specific training that can only occur in our cold environment.
As far as prices, it does vary widely--- There are some areas that are better than others but for me the rental market here makes a lot of sense. I bought a SFH and lived in it while renovating and was able to do the BRR method. It was a foreclosure and the heating system had frozen up so I had to replace all of that. Yes, it was a large expense but I budgeted for it and the numbers still made sense. I converted the basement into a unit and currently have a renter covering most of the mortgage while I live upstairs. When I leave, the house will cash flow well even with me covering the oil/heat. I'm not counting on appreciation. It's a cash flow thing and if you find the right house I think it's good to be a landlord here.
I'm not sure where you are getting the lower cost of living--- Alaska prices are higher than the lower 48 because everything has to be shipped up here and the heating costs are much higher than the rest of the country.
Good Luck to you.