I don't think its a question of sending in a resume or anything like that...It's a matter of getting inline at a processing plant up there at Dutch Harbor so you can be around the boats and meet the captains. Sending in an application/resume won't do you any good, you physically have to be in Alaska. There is a long waiting list to get on one of those boats and its rare for a position to open up simply due to the money they make, the thrill of the catch, the short season(s), and being familiar and relying the people around you.
I wish you good luck, but not to be Debby Downer, you need to be in Alaska or Washington to have a decent shot.