There was recently a large class of 40ish for all the NLO positions at the Duke sites. Out of all of those, most had prior nuclear experience, but there were a handful of people that did not. One even had a biology degree and that was about it. The plant that seemed to be hiring the most people without prior nuclear experience was Robinson. All of the Duke sites, besides Brunswick, are on the same hiring schedule, so the jobs will post at the same time pretty much. Brunswick didn't have anyone new this year.
I know this is a late reply, but just keep applying, and apply to all the Duke sites. Since you don't have industry experience, I would put things related to safety, teamwork, and things of that nature on your resume.