Alaska is very flexible with folks on military transfers, but picky about Domicile because of the funds they pay their citizens. My understanding is they require 1 year of full time residency to establish that you are a full time resident before the fund money kicks in. What status you could apply for before that I dont know.
If you will have no income but a retirement or pension, you may qualify for the medicaid expansion. Ak is one of the expansion states under the ACA.
Living off savings isn't "income" therefore depending on how you are retiring, it may work for you.