Which city should I go to for foreign exchange in Japan?

Question:

I will be going to Japan for my junior year of high school with a foreign exchange program.
I don't think I can choose the city since I will go where ever they have a host family for me, but I think it would help a lot if I could maybe suggest the city that I wanted to go to.

I want to be in a place where I can really learn about Japan. Which means; not too westernized, and not too many foreigners walking around. So I don't really wanna go to Tokyo.
I'd like to be in a smaller city that is still largely populated just not as much as Tokyo.
But I also want to be in a place that's close to the larger cities so I still have to opportunity to visit the big cities.
Thanks in advance! :)

Answer:

I think that your answer lies in your second sentence. If you have the chance of choosing between two or more host families THEN is the time to make a choice. Other than that, just indicate your desire when you fill out your application. There are just too many cities around Osaka, Tokyo and Nagoya alone to start naming them.