Have you considered a bear fly out tour from Anchorage?

If the mountain is out, definitely check in at K2 in Talkeetna on the way up. If they have empty seats you may get a good deal on a walk up price.

In Anchorage the Cultural Center is very well done if you enjoy museums/cultural info

http://www.alaskanative.net/

Outside Anchorage we always enjoy Hatcher Pass for some good scenery or a day trip out to Matanuska Glacier is always possible.
http://dnr.alaska.gov/parks/units/ha...atcherpass.htm
https://micaguides.com/

Silver salmon fishing on the Deshka River should be in full run (in Willow =>90 minutes from Anchorage)
http://www.akfishermanschoice.com/Ta...itna-River.php