Looking for a Japanese font to match Garamond

I’m currently taking a Japanese History course, and typing up (what I believe to be) a very pretty set of course notes. However, I’m having trouble finding an appropriate font. I’m currently using one of my Chinese fonts which has a medium calligraphic style to it, however it doesn’t have great Japanese support. I am strongly preferential to free fonts, for the obvious reason of being a poor university student.