Thanks for your comment. It's one we hear a lot in a variety of contexts. Unfortuantely, your state's vastness, wildness, and low population density go hand in hand with a sparse observational record that makes it much harder to describe historical climate patterns statewide. However, in a blog from last year, MIke Halpert answered a similar question with the following response:

There isn't a well defined precipitation signal over Alaska in any case.  However, winters are typically warmer than average over large parts of the state during El Nino years.