Accommodation close to jigokudani monkey park

Hi, my wife and I are going to Japan for the first time.
We want to go to the monkey park but we are looking for a " traditional " style hotel with a private onsen...

Would anyone have any ideas!
I have been looking but have had issues understanding the websites.
Thanks in advance,
Ben

Korakukan is just next to the park, but it is not luxurious, at all:
http://www.booking.com/hotel/jp/korakukan.html

At the trailhead to the park is Kanbayashi Onsen:
http://www.kanbayashi-onsen.com/Englishi.htm

But I would recommend to stay at atmospheric Shibu Onsen:
http://www.japan-guide.com/e/e6029.html

In Shibu Onsen I like the Kanaguya for the atmosphere of the beautiful building. They also have private baths. However, the service level is rather low (for Japanese standards):
http://www.kanaguya.com/

Thankyou for your indepth answer.
I will start looking into shibu onsen I reckon,
I will start trying to find the English information.

If anyone has any info to add about this or nearby snowboarding :)