Recommendation for Ryokan near Toyama/Kanazawa

Hello everyone, thanks in advance for your help!

My partner and I are traveling to Japan and will be on the route: Tokyo → Kanazawa → Toyama → back to Tokyo. We’d like to spend one night somewhere around Kanazawa and Toyama where we can experience a traditional ryokan.

Our ideal stay would include a room with a private open-air bath or at least a private onsen bath attached to the room.

The stay is for two people, and we are comfortable with a mid- to upper-range budget
If you have any favourite ryokan recommendations around Kanazawa, Toyama or nearby hot-spring towns (e.g., the Hokuriku region), or tips on what to look for (and avoid), we’d love to hear them. Thanks again!

by Londonberger