You are at a distance from the nuke plant. NYC is within 35 miles from a nuke plant, but I worry more about something coming from an intentional release than an accidental one from the plant.

The worst nuclear accident in a U.S. power platn resulted in few if any deaths. The accident at Chernobyl has been estimated to maybe be the eventual cause of 4,000 deaths. http://www.guardian.co.uk/environment/2005/sep/06/energy.ukraine

I'm also sure you can find these numbers disputed with allegations of cancer outbreaks, but all the same the numbers are not tremendous considering the amount of people that live closer to these plants than you live to the plant in Oak Ridge.

If you want to prepare for an NBC incident, there is nothing wrong with that, but for it, you need to have safe cloths, masks for breathing, and a safe room with a well-filtered source of air, as well as food and water to last a while.