Stay at the Captain Cook, eat at Club Paris, drink at the Bush Company, take a walk around Lake Clark and talk to the floatplane guys fixing up their aircraft. That will fill up 2 days. This is all based on my last trip in 2006.
I had a hunting lodge on "Lake Clark" I can speak with some amount of conviction, your going to need more then a few days to walk there, from Anchorage. I am fairly sure you meant "LAKE HOOD".