Dave,
I don't know of any specific schools up in Fairbanks, but by contacting Aikido North, the largest aikido dojo in Anchorage, they'll be able to steer you in the right direction, and possibly even give you the names of individual practioners who might be up in that area.
I trained at Aikido North for several years, and it is excellent. Not too hard, not too soft, yet dynamic and (most importantly) fun aikido. Highly recommended if you're in Anchorage.
Roy
www.aikidonorth.org