Not sure what will still be open in Girdwood, but I have eaten at the Silver Tip Grill there before. Simple atmosphere but good food. Double Musky Inn gets good reviews though I have never eaten there. Seven Glaciers restaurant is an aerial tram ride up the mountain (if you make advance reservations I believe the tram ride is free). Seven Glaciers has a great view and is definitely "fine dining" compared to anywhere else in Girdwood.