2 years is a bad job length. It's too long to be away from the family but not long enough to be worth moving the family unless you intend to stay there.
My plan would be to get the manager(s) there on the phone and tell them up front that your not real excited about the prospect of taking a 2 year contract job in Alaska, but your willing to hear their offer.
Try to get the most of the details pinned down before you fly up to Alaska. They will want you to fly up because if you fly up, mentally you will have already accepted the job and they will just be negotiating over pay. It's much easier to tell them no from your own house in Florida then after they paid your way to a nice hotel in Alaska.
Once you have an idea what they are really offering you will be in a much better posistion to judge. One thing to find out is if they would be willing to pay for you to fly home once a month for a weekend, or every other month for a week or something.
Jay