A friend of mine's God-son choose to go to Alaska without filing the eAPIS, this is how he did it
To fly from Bellingham, Washington State to Ketchikan in Alaska, you need to file a flight plan; which includes the fact that you will be crossing the ADIZ (Air Defense Identification Zone). The FAA will automatically include that in the flight plan if you call it in; but if you file online, some of the online systems need to have the ADIZ box checked. Generally, it’s called an over-flight flight plan. The FAA takes care of coordinating with Canadian Flight Service. You do not need to file with eAPIS and you do not need to file an International Flight plan. With the exception of the ADIZ box checked, it is as if you were filing a flight plan between two U.S. airports.
This information was from my friend -- Richard Eastman, a retired Airline poilot, consultant and a Sportsman 2+2 builder/owner. Thank you Richard!