I was going to mention the following day trip until I saw the "beer budget" remark - but hell, I'll mention it anyway!

If you have USD $1000 to spare, and if the weather is totally clear, go to the friendly folk at Pen Air at ANC and ask them for a round trip to Dutch Harbour (DUT). It's a 3 hr SAAB flight half way down the Aleutians. The DUT landing is better than the old Kai Tak landing in HKG. Stunning scenery - active volcanoes, the usual glaciers, islands etc. You also get a fuel stop at King Salmon. Try to squeeze a few hours in at DUT so you can walk into town and smell the fish factories or walk up the hills to see the WW2 war relics. Even better, fly from DUT further down the Aleutians in a Goose on one of its runs. Fine / clear weather only.

Seriously though, if you are on a beer budget, then there's no better place to go than the Midnight Sun brewery. Yummy beers and a few odds and ends you can buy as well. http://www.wildales.com/

The brewery is in Anchorage but you'll need a car to get there.