Annular Solar Eclipse - Adak Island, May 2012: Airfare help?

I want to take a flight to Adak island (or a ferry) for the May 2012 solar eclipse.
All the flights from CHI to ADK on alaskaair.com state them as fully booked. This is, most likely, due to many people trying to go see the eclipse? Is there a reason this airport, which Wikipedia's entry for Adak island states is, "unusually sophisticated" might not be offering flights to the island?
Is anyone experienced in navigating the island chain on the South Western coast of Alaska, and can help me find an alternative route there?
p.s., this may be off-topic, but if anyone's interested in putting together a group, visit my profile and send me an email.
Best Answer
A different option so seemed worthwhile putting as a separate answer:
http://www.kayak.co.uk/#flights/ANC-ADK/2012-05-17-flexible/2012-05-22-flexible
If you can get to Anchorage, it's .. well... also horrendously expensive, but if you can get a cheap way to Anchorage, it may save some.
Again, Sunday and Thursdays seem to be the only days flights are active on.
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Annular Eclipse over the VLA, May 20, 2012
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