December 2D1N trip from Tokyo/Yokohama?

Hi all,
I live in Yokohama and my family is coming over for Christmas, so I was thinking of taking them on a surprise 2 day - 1 night trip, some place that is within 5000Y pp/way transportation wise and has a nice ambiance (maybe a village, onsen town...). However, we all really don't like the snow which kind of limits my choices - had they come any other season I would have taken them to Nagano prefecture.
Kamakura is too close to stay overnight and I thought about Atami but I feel the town is too full of bubble jidai buildings and wouldn't make a good impression.
Does anyone have any suggestion? No problem going towards Chiba/Tochigi/Ibaraki areas either, not necessarily just Kanagawa/Shizuoka. Possibly not involving renting a car either.
Thank you in advance!

Erm, more about your family? Where are they from? Would do they like? How many of them? Fitness level? etc.

Thank you.
Is our country important? We do not have any religious or cultural restriction if this is what you are asking.
I was hoping for some place that is nice and relaxing and not snowy. My parents are not young so hiking etc would not be a good choice but long walks in a town would be totally okay. They like beautiful things (nature or art) and folklore. Last time they came, they really loved Kamakura, but also Minatomirai and Daikanyama; they can appreciate diverse things.
I was thinking of Shimoda which seems really nice, but I would be really happy for other suggestions.
Thank you!