I'd spend a little more time around Kanazawa. It's regarded as a mini Kyoto in terms of traditional architecture & crafts. The seafood there is great and has several top ranking sushi restaurants on tabelog. It is possible to visit Shirokawa-Go https://www.japan-guide.com/e/e5950.html and even the Kurobe Alpen route on a longer day https://www.japan-guide.com/e/e7550.html There are two Hyatts there which might suit your loyalty preferences.

I feel like a few more scenic bike routes have opened in Japan along with bike oriented hotels Memorable Hotels in Japan Riding along the Shimanami Kaido in Seto Inland Sea is one of the iconic JP cycling trips https://www.japan-guide.com/e/e3478.html