Having lived there (nearby) for 17 years I don't recall anyplace interesting to stay in.....as Arita is all about porcelain. Might I suggest getting back on the train(or renting a car) and staying in Takeo/Ureshino onsen or in nearby Sasebo/Huis Ten Bosch!

http://www.jnto.go.jp/eng/location/r...hinoonsen.html

Below offers a map to better visualize the area....I would take the train and rent a car near the station if possible, the area offers beautiful scenery!

http://www.welcomekyushu.com/area/saga.html


For Fukuoka I would stay at one of the many hotels in Tenjin or the Hakata Station area(for transport convenience).

I have met the proprietors of this newly refurbished place.....it is quite flash!
http://www.withthestyle.com/eng/index.htm

And another new place ( 1 year old) can't beat the location as it is right in the middle of the "Tenjin/Daimiyo" area, and about 100 meters to Nishitetsu Tenjin station!

http://www.qurega-t.jp/visitors/index.html