Does he want to work in the commercial nuclear field? If so, I frankly wouldn't use a head hunter, as MY plant doesn't use them, and I believe most other plants don't as well.
As far as MTS... I looked at 4 resumes this evening, and all had MTS on them. One cracked me up.. he wasn't only a Master Training Specialist... He was a Renowned master Training Specialist. Yes, put it on there, no, don't glorify it above all other things, or feel like you have to explain it in detail, unless of course, you're looking outside of commercial power.
I wouldn't blanket everyone with resumes. I would respond to desired advertised jobs, with a specific cover sheet, and an attached resume. When a company advertises a job, they get plenty of response, and I don't think that they look too heavily in the drawer for those special resumes they've been saving up for a special occasion.
You might want to be a little flexible with the location and start date. Training opportunities are along the lines of technical training (teaching maintenance workers) and operations training (teaching operators). Unfortunately, teaching and operating in the navy doesn't quite prepare you for operations training, but technical training is another matter.
Does your husband have a 4 year technical degree? That would enable him to look at instant SRO positions. Otherwise, despite working hard for 21 years in the Navy, he's looking at entry level operations positions, which start off kind of low, but raise in pay rapidly, and have great growth in the long run.
Business cards? Maybe outside of commercial power... I don't think they're worth your outlay in the business.
Hope that helps a little.
Bill