I've been on the chem side of business for ~20 years. Typically, even with a higher level degree you will need to start as a chem tech. Nobody, is going to higher a supv for a plant, without experience.
Typically, some of supv staff will either be ex-Navy personnel with no degree or those who went to college and worked up thru the ranks--most do not have advanced degrees. My experience is that advanced degree folks, are not "challenged" enough in "real" chemistry. Also, these folks usually expect to work strictly in lab environment---a nuc power chem tech, is a job that requires field work (out of the AC).
Still, if you start off as tech, there is good chance for advancement. We currently have openings at FPL (point beach, in wisc) for techs. Drop a resume.
BV