Summer couples trip! Which accommodations in Kawaguchiko Onsen have private baths or rooms with open-air bath?

I'm planning a one-night date to Kawaguchiko Onsen with my boyfriend during summer vacation! I'm thinking of a hotel with a private bath or a room with open-air bath, and the budget is about 30,000 yen. Since it's an overnight date, please let me know of any recommended hotels where I can enjoy hot spring and delicious meals in a relaxing and calm atmosphere.