Arrrrghhh! I live in Fairbanks but have to fly out for a wedding in the Midwest that weekend.
I don't know how much time you will have that day, but there are a couple of quick aviation related things to check out.
The first in Golden Heart Plaza downtown, and is a memorial of sorts to the Lend Lease Flyers. It is to the right of the picture in this webcam.
The other is the Pioneer Air Museum at Pioneer Park, which incidentally is on the road from Fairbanks International to the downtown, called appropriately enough Airport Way, The Museum has quite a display of the history of Aviation in Alaska, which is often a display of pieces of important aircraft from their crash site, as Alaska was, and still is, quite proficient at killing aviators.
To hit both of these might take about 2 hours, 'cause Fairbanks isn't that big.