We are planning a first-time trip to Japan with 4 days in Tokyo and 5 days in Kyoto, departing from Osaka after a one-day stay there. We have 5 days in between and enjoy nature, mountains, good food, local culture, and a serene atmosphere. We would like to stay in an onsen ryokan for one or two days. We are unsure about Kanazawa, Takayama, or other destinations that would suit our interests. Please recommend where to spend the remaining 5 days, as well as a good onsen ryokan within a budget of fifty thousand yen per day. I had considered Honjin Hiranoya Kachoan in Takayama, but the TripAdvisor reviews were not very positive. We are open to any recommendations and will be using public transport for our travels.