I grew up in Fairbanks and that right there is why I became a musician. Heh. Also, I thought for a while I would be a figure skater (4 am lessons, take that, dad!).
It was not easy, and I wasn't even a homeschooler, but with UAF and the athletic club and youth symphony/arctic chamber orchestra we made it work. What did I know, though, as a goofy kid without other options? :gnorsi:
If you know Dawn Wohlgemuth Lindsay, you might pick her brain about options in Anchorage. She's got some awesome active boys. I believe they ski.