Nara Park? I've been there, I think the park itself was free and there was a small fee for the daibutsuden, but I can't remember. Was a pretty cool place though!
The details of the program are
here if you're interested, although this information is aimed at Australians. It's two weeks homestay with a family in Kanazawa, morning Japanese classes and cultural stuff in the afternoons/weekends. I never got the opportunity to do a study abroad while I was in school or uni, so I'm jumping at this one