You can't come up to Alaska and not see Santa. Never too early to see Santa.
If you want an Alaskan experience, do this!
There's a few different museums around town, such as the Antique Automobile Museum or the Museum of the North up on UAF's campus.
So many good places to eat in Fairbanks/North Pole. We have everything from Thai food to Alaskan "fine dinning". If drinking is your thing, we have a few breweries/distilleries in town. Most of them have a food truck schedule or you can bring your own food.