I've been to 46 of the lower 49 and don't know where I could go glacier hiking, flying around the tallest North American mountain and landing on a glacier, riding a summer dogsled with an Ididarod winner, and ocean kayaking among whales, bald eagles, and various other critters within a 7-800 mile loop.
I'm sure Barrow and others are a very different experience, but I just don't see those as an enjoyable week-long vacation with 5-11 year old kids. Perhaps an adventurous adult that has been most "normal" places and is looking for a unique cultural experience. But not a 5 yr old, for a week. YMMV, I suppose.