You may have a impression about nuclear disaster at Fukushima power plant in March 2011. In fact, there are still a lot of people who cannot get back to their home due to the high radiation level, however, Fukushima prefecture is horizontally long shaped prefecture and there are few affects in the mountain side. There are many snowy mountains inland.
Mt. Aizu Komagatake (会津駒ケ岳)
https://en.wikipedia.org/wiki/Mount_Aizu-Komagatake
http://www.snowjapan.com/japan-ski-resorts/town/hinoemata
It will take 6-8 hours to hike up by snowshoes.