Hakone Onsen recommendations

Any good onsen/ryoken recommendations in Hakone? We prefer one that have private (outdoor) hot spring bath and toilet, and in-room Japanese style dinner/breakfast?

Budget of over night of your How much?

Less than $300/person?

Aura tachibana, there is also a room with an open air bath. (Kaze-no-yakata)
Because some different rooms, please say at the time of booking it.
There is also a time of budget over Saturday and Sunday.
http://www.tripadvisor.co.uk/Hotel_Review-g298171-d661606-Reviews-Aura...
All rooms of 10, bangakuro is a semi-open-air bath with or open-air bath.
Course of the meal the tallest, to over $ 300.
http://www.tripadvisor.com/Hotel_Review-g298171-d1132544-Reviews-Banga...
Pax Yoshino
There is a room of semi-open-air bath.
Japanese restaurant in a private room at night, morning seems Viking.
http://www.tripadvisor.co.uk/Hotel_Review-g298171-d1126057-Reviews-Hak...
Ryokan Hakone
https://www.japaneseguesthouses.com/ryokan-search-results/?pagenum=1&p...
http://www.jalan.net/en/japan_hotels_ryokan/Ryokan/Kanagawa_Ryokan/Hak... = USD & roomCrack = 200000 & distCd = 01 & listId = 6 & scVal = 02
http://travel.rakuten.com/
http://www.hakone-english.com/e_sengokuhara_ryokan.html

�ª
Viking = smorgasbord style of eating
all-you-can-eat

Also try Lalaca at Gora. It is very special, though I cant remember whether the onsen that you can reserve is inside or outside. But generally if you book for a Monday to Wednesday, there are barely any people at the ryokans so you have the onsens to yourself most of the time. Also at Lalaca dinner is in the room, if you book it, but breakfast is in the dining room. The food is great - we stayed 4 nights and they did something different each night, and really looked after us.