Nagoya is kind of a world onto its own. I live outside Nagoya in the Mikawa area, and things are a little different here, but when I did live in Nagoya proper, I liked it quite a bit!
I think Fukuoka is a good place, too. Kobe seems like a nice place to live or even Hiroshima. I like Hiroshima, too, and I had thought about moving there once when I had a lot of friends in the area.
Chiba seemed like a nice place when I visited, but it might be a little smaller than you're looking for. Of course, it's not that far from Tokyo...
Personally, I am a bit biased, though. I would recommend anywhere in Kansai or Aichi if put to it. Good luck. I know how things are in Izumo. I used to live in a small town in Yamaguchi that made Izumo look like a metropolis in comparison, so I totally feel for you! Good luck!