I was leaning towards Kawoge, but is there enough to do there to make it worth a trip? I'm only here for a few days and feel like there is enough to keep me busy in Tokyo, but it also feels like I should get outside the city for one day..Edited: 7:16 pm, December 13, 2017
https://www.japan-guide.com/e/e2166.html It is close enough that you can go first thing in the morning and see the big Buddha and the most important shrine Hachimangu. You can skip the smaller ones and head to Enoshima Island and wander around. You can head back north in the late afternoon and stop by Minato Mirai in Yokohama. Fantastic area!!!
In fact if you are not a Shrine/Temple buff, there are plenty in Tokyo I can send you too that are not really known and you can stay local because there is a ton to do in Tokyo. A few days isn't much for Tokyo. hakone is a bit far for just a few days in Tokyo.
I've been to all three and, apart from Hakone which isn't really a daytrip destination but at least requires an overnight stay with onsen bath, Kamakura wins hands down. Kawagoe, popular among Tokyoites for its Edo/Meiji era buildings, offers a lot less than Kamakura, with its 1,000-year history. It's a place I always return to during my Tokyo stay.
I highly recommend the Shonan suspended monorail from Ofuna to Enoshima if you can fit that in to your itinerary.
Awesome!!! What was your favorite thing?