What kind of work is available for a spouse, what did you do. Also what were the deployment schedules like, did you spend more time at home or at sea, with respect to a US based squadron? As far as housing is concerned, would you recommend on base or off, do you feel like you are living in Tokyo, or in an isolated place? How far was the snowboarding, its sounds awesome that you ski every weekend.
I got hired as an English teacher for a Japanese company before we even left for Japan. I worked there for 6 months until I got hired as a contractor working in Yokosuka. I worked for the Naval Health Resesarch Center conducting shipboard surveillance/research of influenza on large deck Navy ships. I had no background in the health sciences but did have a science background, told them I could do the job and would be willing to commute so I was hired. The Japanese company paid me half of what I was making in the US as a consultant and the contractor job paid a little more closely to what I had been making but not as much. I also tutored English to 3 sets of other students out of my house in the evenings. Some women only tutor, some don't work at all.
We lived on base for only 1 reason: we had 2 cats and didn't want them to sit for a month or more in quarantine when they came over. If you live on base you can quarantine them in the house, if you live off base they have to be in a gov't kennel. It actually turned out really well living on base because I ended up traveling a lot and there were plenty of families around who were willing to help us out watching them. We had a group that would exchange pet sitting when people went away. The one thing I didn't like about living on base was how close you were to everyone. I'm a fairly private person and when you have people all around you that work together, etc it's not as private as I would have liked. And it's also free, the utilities and whatnot are paid so come summer and winter the house stayed comfortable where people we knew out in town could only AC one room since it was so expensive. I felt safe on base, we didn't lock our door when we would go to work and I would go running around the flight line at night. One of our friends did get their house broken into off base, though it's not too common it does happen.
I definitely didn't feel like I was living in a large city a la Tokyo, but Atsugi isn't bad. You can go a little ways out and be in the mountains (Hakone) or rice patties or at the beach (Enoshima). But you can go half an hour and make it to metropolitan Yokohama. It's a fairly good location to getting to everything.
I'm not sure what a US based squadron does but the first two years my husband was gone for 4 months or so a couple times a year with small detachments in between to Oki, Misawa, etc. Our last year HS-14 had detachments on smaller ships similar to that of HSL and that schedule was completely different. I would say he was home about 1/4 of the time we were there. The great part was I got to meet him in port and tried to visit almost every port. Even if I wasn't able to see him because of duty, work or events I would still go out on my own. When he was in Perth he spent a lot of time on duty but I had a rental car and did my own thing. Yes, you'll get crap from everyone if your wife comes to a lot of the ports but for us work came first and if we got to see each other it was the added bonus.
We usually went snowboarding in Hakuba which was about 4 hours one way. We would stay at a lodge that we found that's run by Aussies (Blue Dragon, and it's awesome) that gave us a good deal. They love having military guys up there. There's also downhill mountain biking, and xc biking in the same area in the summer. There's also white water rafting, canyoning and tons of hiking.
Hopefully some or all of this makes sense, and has helped with your questions. If you have any others I'd be happy to answer what I can.