I have not found any online retailers other than Amazon that do not charge extra to ship to Alaska, even when the shipment is going out via USPS.
For breweries, check out
1. Midnight Sun (great beer and food)
2. Anchorage Brewing company (beer only)
3. King Street brewing (beer only, close to ABC)
4. Resolution Brewing company (beer only, close to food)
5. Glacier Brewhouse (food and beer, in downtown)
6. Arkose Brewing Company (in Palmer, beer only)
There are also breweries or brewpubs in Homer, Seward, Talkeetna, and Fairbanks if you happen to go in those directions.