Private onsen in Kusatsu Onsen
A bath you have to yourself: no other bathers, and usually no tattoo problem either.
Is there a mixed onsen in Kusatsu Onsen?
Yes: Sainokawara Rotenburo. If what you want is to bathe together as a couple or a family, a private onsen is usually how it is done in Japan: the 3 below have a bath your group uses alone. Where Japan’s mixed baths are, and what to wear