For the OP...
If you're thinking abut moving, do it sooner rather than later. Finish your degree and go.
If you're leaning towards staying, then I'd go ahead and go to class... In my experience, the extra time involved in license class really wasn't excessive. I had plenty of time to spend with the family, and still came out near the top of the class. The key to preserving the off time is to use the time you're given at work. Easier said than done though. You don't have to have your nose buried in a book to study... I quizzed myself while driving to and from work, when I was out running, etc.
One thing you said makes me doubt my suggestion though. If your wife isn't happy there, then you need to find a way for her to be happy, or go ahead and move to another plant. Do it sooner rather than later. IMO the plants are going to fill up their training pipelines and the jobs are not going to be as plentiful as they have been recently.
Bolded for truth..., my plant is doing just that. We are trying to head off a looming mass exodus.
To add to what he said..., I barely spent any extra time outside of work studying. When I was on OJT, I spent every available minute in the plant, in the control room, in the books.
I've been through two classes now, and I've seen people who use OJT time as a vacation. They are also the same guys that had to put in 16 hours on a weekend for a test.
You'd be amazed at the kind of time you can find around home too..., ahem, on the crapper, for example. I had note cards that I had with me all the time. Service on truck? Study. Waiting for haircut? Study. Standing in line at post office? Study. You get the idea.
You can most certainly use your time at work and free time that you don't realize you have, to your advantage.
I never studied on weekends or in the evenings..., unless it was a milestone exam.
Good luck with your decision!
Justin