mixed rotemburo in Hakone

Hi, I am travelling to Japan with two friends (a couple) and we would like to experience the Japanese rotemburo but not gender-segregated (I have already bathed in a rotemburo before but it's their first time in Japan and they are a couple... it would be a pity to be separated during the bath).

Can you recommend any mixed rotemburos in Hakone? For day-trip or also with ryokan, both are OK for us.

Thanks.

Private baths, which are available in large numbers across Hakone are always an option.

As for public mixed baths, the outdoor bath at the following ryokan is an option:
http://www.yusaka.jp/onsen.html

Also the outdoor bath at this ryokan is mixed after 10pm:
http://www.hakone-yamatoya.com/shisetsu.html

Thank you so much, I will have a look :)