What kind of 1099 do you have? There are over 20 different kinds. There is no plain Form 1099. All 1099 forms have one or more letters after the 1099. The most common are 1099-INT, 1099-DIV, 1099-B, 1099-NEC, 1099-R, and 1099-G. Box 14 is different on different types of 1099-series forms.
Alaska is not in the list of states because Alaska does not have any state income tax. You do not have to enter the state. If there are other boxes for state tax withheld and a state income amount, leave those boxes and box 14 empty. Do not enter anything.