If your stay in Alaska was temporary for work purposes, and you maintained your permanent home in VA while you were away, then for tax purposes you would be a full-year VA resident, and all your 2016 income would be taxable by VA. You would file a resident Virginia tax return only.
Alaska does not have a personal income tax, so there is nothing for you to file in Alaska.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
