I would have to say your best bet to ship the bike to is going to be Anchorage, You will have to fly in there anyway.
I've still got a couple friends that live up there,(around Wasilla, Anchorage area) from when I used to work in Prudhoe Bay, I could possible put you in touch with them if you're interested and they are OK with it. They could give you more info about the road conditions, I never drove the Dalton Highway, Always flew in. If you are planning on going that far north, keep in mind that north of Fairbanks somewhere the Dalton highway is not paved, its very rugged, and the haul road truckers are dangerous. When we would have a new pickup/truck brought up they would always get a couple flats, and often times get windows broken out. And really there is nothing in Prudhoe bay worth seeing, I would concentrate on most all my efforts south of fairbanks, remember AK is Huge!! It will take a bit of time to explore that!
Well thats my book on the subject, thats a trip I would like to make too, especially to see some of the people I used to work with. I too would be interested in your time frame for the trip, I dont know if I could convince my wife to let me go that long, but I would be game. I'd suggest a mid July- Mid August as probably your best window for decent weather, plus you'll get to see the midnight sun when you are there.
"He was a wise man who invented Beer"--Plato