It is my understanding that you can just ship them to your residence in Alaska. I do not belive an FFL transfer is nessecary because you are not transfering ownership of the weapons, just the location. Besure to cheak out each shipping companies firearms policy before you do though. I think that would be the cheapest and most hassle free method. But this is all assuming you're driving through Canada. If you fly, then you just pack them as luggage.
DHL
EDIT - Nevermind them: "Firearms
(Parts thereof including paintball, pellet guns, air rifles, etc.).
Domestic (USA) transportation only from and to licensed dealers.
Domestic firearms must be rendered mechanically not fireable.
Not permitted to be sent outside the U.S."
FedEx
FedEx Express can only accept and deliver firearms between areas served in the U.S. under the following conditions: (1) you agree to tender shipments of firearms to us only when either the shipper or recipient is a licensed manufacturer, licensed importer, licensed dealer or licensed collector and is not prohibited from making such shipments by local, state or federal regulations; (2) the shipper and recipient must be of legal age as identified by applicable state law.
Firearms must be shipped via FedEx Priority Overnight service. FedEx cannot ship or deliver firearms C.O.D. or with a signature release. Upon presenting the package for shipment, the person tendering the shipment to FedEx is required to notify the FedEx employee who accepts the package that the package contains a firearm. The outside of the package must not be marked, labeled or otherwise identify that the package contains a firearm. Firearms shipments cannot be placed in a FedEx Express Drop Box.
You also agree not to ship loaded firearms or firearms with ammunition in the samepackage. Ammunition is an explosive and must be shipped separately as dangerous goods. The shipper and recipient are required to comply with all applicable government regulations and laws, including those pertaining to labeling. The Bureau of Alcohol, Tobacco, Firearms and Explosives can provide assistance.
UPS
Special Procedures for Shipping Firearms
Use These UPS Services for Your Firearm Shipment
Firearms will be transported only between licensed importers, licensed manufacturers, licensed dealers, and licensed collectors, as defined in the United States Gun Control Act of 1968, law enforcement agencies of the United States or of any department or agency thereof and law enforcement agencies of any state or department agency, or political subdivision thereof, and between persons not otherwise prohibited from shipping firearms by federal, state or local law and when such shipment complies with all applicable federal, state and local laws.
* You must ship your packages that contain handguns with UPS Next Day Air Early A.M.®, UPS Next Day Air®, or UPS Next Day Air Saver® services
* Your packages that contain firearms will not be accepted for shipment at UPS Drop Boxes, with UPS SonicAir® service, at locations of The UPS Store or any third-party retailer, or with international services.
Follow These Packing Requirements
* Your packages that contain handguns must be separated from other packages being delivered to UPS
* Ammunition cannot be included in your packages that contain firearms (including handguns)
About Documentation and Labeling
* When you are shipping your package that contains a firearm with UPS, you must affix a UPS label requesting an adult signature upon delivery
Getting Your Firearm Shipment to UPS
* You can only ship your package that contains a firearm from UPS daily pickup accounts and through UPS Customer Centers
* When you are shipping a package that contains a handgun, you must verbally notify the UPS driver or UPS Customer Center clerk
* You can use UPS daily pickup accounts to ship firearms, not including handguns, through UPS Internet Shipping, UPS On-Call PickupSM, and One-Time Pickup
* Your packages that contain firearms will not be accepted for shipment at UPS Drop Boxes, with UPS SonicAir® service, at locations of The UPS Store or any third-party retailer, or with international services
* See the terms and conditions in the UPS Tariff for shipping firearms