If you go to Whitter and want to hike, there is a great one off Portage Glacier Road. Hike up to glacier (hope it's still there, I did it in 2005).
Doubt you can get a camp site, but try Denali. Denali Highway from Paxson east to Parks Highway. Fairbanks has some nice stuff you could do on the way out of Alaska. University of Alaska Fairbanks has a great museum, Chena Hot Springs, North Pole, Chena Lakes Recreations Area (great sites). If you do go via Fairbanks go to Valdez and salmon or halibut fish. Valdez is a great little town. Bear Paw II is right in town. the other one is closer to the harbor.
McCarthy, old mining town is awesome. Google it. Good hiking trails.
I coudl go on and on.