Hakone hotels overlooking the lake or Mt Fuji

Looking for recommendations for a hotel in Hakone which is next to the Lake Ashinoko, overlooking the lake or Mt Fuji.

Thanks

Lake Ashinoko is at a lower elevation (let’s say, compared to the top of the ropeway) that from the lake side you cannot see Mt. Fuji. (I don’t have a specific recommendation from among the many hotels along the shore of Lake Ahinoko.)

If you want a view of Mt. Fuji “from Hakone,” then I recommend Hotel Green Plaza Hakone (along the ropeway). We've been there, and have been blessed by great views on a few occasions (though not always).

If you want a better view of Mt. Fuji, I recommend going to Kawaguchi-ko (Lake Kawaguchi) area and stay along the northern shore of the lake.

It seems that there are two rooms with Mt.Fuji view at the mountain hotel, but if you want to see Mt.Fuji and the lake, I would like to recommend the inn at Lake Kawaguchiko.
https://www.hakone-hoteldeyama.jp/guestroom/delu_twin/
https://www.hakone-hoteldeyama.jp/guestroom/stan_combi/
If it's not a hotel, the view from the Narukawa Art Museum lounge might be better.
http://www.narukawamuseum.co.jp/lounge/index.html

In addition, if you go by car or motorcycle, the scenery from Daikanpou（大観峰） is recommended.