Norwegian Cruise Line offers a Norwegian Cruise Line 7-Night Alaska Cruise for Two bundled with a cabin upgrade with prices starting at $1,038, as seen on Travelzoo. (It's the top offer on the page.) That's the lowest current rate we could find for this cruise by $40. This cruise departs from Seattle, WA, on September 13 and includes stops in Ketchikan, AK; Sawyer Glacier, AK; (scenic cruising); Juneau, AK; Skagway, AK; Victoria, British Columbia; and Vancouver, Canada. Some restrictions may apply; fees, government taxes, and fuel supplements are additional. Book this travel deal by February 11.
Of note, Norwegian Cruise Line offers other Alaska cruises with prices starting at $529 per person. Scroll down to see them all.