Sue,
I am not sure when you are leaving for Alaska, but we were in Anchorage for 2 days before our cruise about 2 weeks ago.
When I called the Crow's Nest, she said it was more of a continental menu and a jacket was required. (I think.) Sounded very nice. We ended up going to the Marx Brother's Cafe which is in an old little home in downtown. Food was excellent. Dress was dressy casual. Not a super fancy place, though. Also, the bathrooms were up on the second floor - no elevator. No views or anything, and the tables are very close together. So perhaps the Crow's Nest would have a nicer atmosphere. The views are supposed to be very good from there also.
We also ate at the Glacier Brewhouse which is more of a casual place with tall beamed ceiling. It could get loud because it is very open. The food was excellent there, also.
Have fun!
Ginny