I flew Continental to Anchorage last year. Round trip $239 from Sea-Tac. It wasn't a redeye either. Left Seattle at 8pm on a Wed. Returned 5:30 pm the following Thursday.

Better flight times and cheaper fares than Alaska, last year at least. I'd keep an eye out on their site, as well as some of the other carriers. United and Delta both serve Anchorage now too.

I booked around the beginning of April for the second week of June.