Option 1: Take the ferry like Fig stated above.
Option 2: Contract with a shipping company licensed to transport restricted firearms through Canada.
Option 3: Fly.
Option 4: Use an FFL service.
If it were me, I'd probably use the ferry if I had five or more handguns, otherwise I'd cull the herd or store some with family CONUS. I would certainly contact a couple of the licensed moving companies for a quote though, especially if you have a large collection like some here do. But, as I'm sure you already know, there is nothing cheap about Alaska, including getting there with all your stuff.