Private onsen ryokan in Hakone

Hello, I leave soon for Japan and have had a very hard time finding a place to stay in Hakone. I am a female traveling alone and would like to stay in a Japanese room / Ryokan that has a private onsen bath in the room (if possible with natural water, not the city water so I hear). I would love a place to sneak away to that I can relax , that maybe has gardens/forest or something to mediate in and that is not too full of tourists. I am looking for something mid range and also with a view if possible. Private in-room onsen though would be awesome. Could anyone recommend a hotel and provide the website in English for me please! Thank you so very much!

Onsenji Yumedono Ryokan has private baths with Mt. Fuji view. It's a bit pricy but it's beautiful.

http://onsenji.com/en/