Fly to Fairbanks: Check out the terrific Museum of the North at the University of Alaska plus their marvelous botanical garden (HUGE cabbages, plants, flowers). Take a half-day Steamboat tour where you will see a demonstration of seaplanes plus the highlight seeing the friendly Alaska sled dogs and a visit to the Chena Eskimo Village.
Train to Denali National Park. Take the one day tour to Mt. McKinley which is spectacular on a sunny day. The National Park has a nice exhibit and if bears are in the area, signs are posted.
I stayed at The Princess Denali Lodge (next to the Park) which has shuttle service & very good restaurants, especially the Grizzly Bar & Grill. Gorgeous area to walk about. Glad that I spent several days here, rather than being rushed as people on tours seem to be.
Alaska Railroad Train a super experience between Fairbanks and Denali (sit upstairs!) and then Denali to Anchorage. In Anchorage, check out Orso, a marvelous Italian restaurant. Would I return? Oh yes! In addition to spectacular scenery, people are great and the food is quite good. Very memorable journey.