Our plant hired lots of ex-Navy for numerous positions in QA (think NRRO monitor watches), training, and some in maintenance. The vast majority of these were officers (ex-NRRO LDO) and a few were ex-enlisted. Of the enlisted, I can't think of any that were not E-6 EWS/PPWS. A lot of the hiring was through networking. For example, NPTU, NNPTC and Kings Bay seem to be a hot-bed for our plant hiring ex-navy along with NRRO. I was in Groton when I got hired, but my initial contact was through someone at NPTU NY via Nukeworker and a previous tour we did together. I started my interviewing process about six months out and ended having to choose between 3 nuke plant jobs, a civilian nuclear-support company, and a renewable energy company. A funny thing happened to some of the guys hired in training. They didn't want shift work so they opted not to go the SRO route and got SRO-certs. Now that they are teaching, they are having to work backshifts and weekends due to the number of license classes going on right now. So to answer your question, you'll have lots of options in civilian nuclear power. Your EOOW opens more doors. There are lots of other industries that like hiring nukes as well. Get your resume ready early and go to some job fairs, if possible.
I don't know your exact situation Senior Chief, but I was in a similar situation a few years ago. I did not do a tour at NPTU, so I have not walked in your shoes. I don't know if you're surface or subs; but an EDMC on a sub whose heart is not in it is destined for failure and will negatively impact the lives of lots of nukes and non-nukes for that matter. I resigned myself to getting out at 20 when I was at my 12 year point because I had no shot at E-8. I made E-8 at 18 and then E-9 at 21 and ended up doing 24. That 16K a year turned into 36K a year, but I loved being a submariner, CPO, and a nuke.