As for the options, they are myriad.
With a technical background, your husband can persue employment in virtually any power plant (Coal, gas, hydro, nuclear). Other options include maintenance supervision or planning, potentially some entrance into project planning or management.
Employers like that veterans can adapt to new environments, are trainable (for the most part), take direction well and are ususally reliable (for things like showing up to work on time).
Going back to college may be an option the two of you should talk about. A college degree will open other doors as well.
If he is looking to work at a nuclear plant, then he is looking at being an AO (Auxiliary Operator, kinda like what we MMs did on ships/subs) or NLO (Non-Licensed Operator, the same as AO usually, just different name). Direct SRO (Senior Reactor Operator) is not available to him since he will not have a minimum of 2 years of qualified experience as an EWS.
As for reenlisting for orders, does not happen. Detailers are not permitted to make deals like this, it is greatly frowned upon. Plus, the only perks associated with reenlisting are included in the program instrcutions for reenlisting.
I personally joined the Navy with the intent of reenlisting once, going to prototype and getting out. 20 years later, I retired in December of 2011. Now having said that, each individual, or your case couple, needs to constantly reassess if their needs and aspirations are being met by being on active duty. If not, it's time to move on.
I realize this may not help any at all, but really none of us can tell the two of you one way or the other what you should do. At least the two of you are having the discussion together, as a couple. Best of luck to you both and thank you for your sacrifice and his service!