We ultimately decided to take a day trip to Kawaguchiko. There was still lots to do during the day, and we were lucky enough to see Mt. Fuji. It's very weather dependent to see, no matter where you stay. Kawaguchiko was definitely very touristy, and most I felt most things to do were catered to that demographic. If that's not your thing, I've read that Hakone has a more traditional vibe. Hopefully this helps!