Anyone who needs or feels a want for a firearm in Canada, PLEASE call the RCMP first. Looks like traditional cowboy things are permitted, other newer things not so much, but I have never tried their system. If I need a gun in Alaska, I would mail it to myself, having permanent mailing addresses in both Alaska and WA locations. Or just buy one in Alaska.
Having lived in Alaska or traveled to or from by road since 1969, I have never seen a need for lethal protection in Canada or Alaska rural or wild areas. Your experience may differ. On the other hand, if you only want to go to urban areas, protection may be warranted.
Alaska is worth the trip, by road or air or ship If you need the lethal protection consider a flight or a cruise and rent a motorhome for the tour. The best protection is avoiding dangerous areas, like the all-night market at 2:30 am in the obviously seedy neighborhood, or the recent moose kill on the nifty trail, or closely mingling with the bears fishing for or eating salmon.