The Top of the World has re-opened as a new hotel away and to the east from the old location. Was in BRW a week and a half ago. Did not stay at the Top of the World but had dinner and it was reasonable for Barrow and nice quality meal. Crowded with locals enjoying a night out. I think all of the half-dozen restaurants are open year-round. The King Eider is nice as it is close to the airport unlike the Top of the World and comfortable; if you can afford the tariff, I would think either would be fine.