*UPDATE* - Apart of great solution to visit Alaska and Hawaii at once (already for €762) you may also consider to visit remoted part of Alaska such as Kodiak Island or Cordova. Lufthansa just decreased their offer to Alaska and you can book flights already for Ł388/€483 when departing from Germany.
DE - Frankfurt - Kodiak Island for €525
EN - Frankfurt - Kodiak Island for Ł430
DE - Frankfurt - Cordova (Alaska) for €525
EN - Frankfurt - Cordova for Ł430
open-jaw flights solution
DE - Frankfurt - Anchorage and Cordova to Frankfurt for €490
EN - Frankfurt - Anchorage and Cordova to Frankfurt for Ł388 (€483)
ORIGINAL POST
This deal is possible to book in travel dates between 3rd of November 2014 and 22nd of March 2015. (based on your outbound flight to Alaska). Since this is possible erorr fare we recommend to not call airline nor booking agent and pay the ticktets by credit/debit cards.
Considering Frankfurt is one of the major hubs in Europe connected with other European cities by many low-cost airlines this is very attractive solution for majority of travellers no matter where you live..
Booking sample of cheap roundtrip flights to Alaska from Germany for Ł388 (€483) here . In this case you would be leaving from Frankfurt to Alaska on 5th of March and returning back from Kodiak to Europe on 18th of March 2014.