It would take only three hours from Kyoto to Tokyo. So, I have just tried searches with conditions of May 1-2, Ryokan, and Mt Fuji view.
A result by JTB, sorted by user points.
91 Fugaku Gunjo / Shizuoka Toi
87 Fuji Lake Hotel / Kawaguchiko
86 Maruei / Kawaguchiko
85 Isaba / Shizuoka Toda
84 Ohya / Kawaguchiko
83 Ryuguden / Kanagawa Hakone-en
81 Hotel Green Plaza Hakone / Kanagawa Sengokuhara
81 Tagaoogi / Yamanakako
https://www.jtb.co.jp/kokunai_htl/list/fuji_p/Another result by Rurubu, sorted by user ratings.
5.0 16 Fugaku Gunjo / Shizuoka Toi
4.9 10 Shoutoukan / Shizuoka Mito
4.7 80 Ubuya / Kawaguchiko
4.6 44 Kaneyamaen / Fuji-Yoshida
4.4 63 Maruei / Kawaguchiko
4.3 74 Konansou / Kawaguchiko
4.2 89 Ohya / Kawaguchiko
4.2 82 Fujiya Hotel / Kofu
4.2 79 Shofukaku / Shizuoka Yaizu
4.1 30 Isaba / Shizuoka Toda
3.9 24 Ryuguden / Kanagawa Hakone-en
http://rurubu.travel/star/fujview/Finally, ratings by Google for the combined sample.
4.7 270 Ubuya / Kawaguchiko
4.7 243 Konansou / Kawaguchiko
4.4 334 Kaneyamaen / Fuji-Yoshida
4.3 73 Maruei / Kawaguchiko
4.1 380 Hotel Green Plaza Hakone / Kanagawa Sengokuhara
4.1 144 Fuji Lake Hotel / Kawaguchiko
4.1 83 Isaba / Shizuoka Toda
4.1 42 Fugaku Gunjo / Shizuoka Toi
4.0 236 Shofukaku / Shizuoka Yaizu
4.0 96 Ohya / Kawaguchiko
3.9 255 Fujiya Hotel / Kofu
3.9 57 Shoutoukan / Shizuoka Mito
3.8 95 Ryuguden / Kanagawa Hakoneen
3.8 24 Tagaoogi / Yamanakako
The top three are in the Kawaguchiko area.
Five stars Ubuya / Kawaguchiko
http://www.ubuya.co.jpThree stars Konansou / Kawaguchiko
http://www.konansou.comFour stars Kaneyamaen / Fuji-Yoshida
http://www.kaneyamaen.com/Even distant ones rank in, such as;
Hakone:
Three stars Hotel Green Plaza Hakone / Kanagawa Sengokuhara
http://www.hgp.co.jp/inf/Z11/hgp/Nishi-Izu:
Three stars Isaba / Shizuoka Toda
http://www.isaba.co.jp/Shizuoka:
4.0 236 Shofukaku / Shizuoka Yaizu
http://www.syofukaku.com/Kofu:
Four stars Fujiya Hotel / Kofu
http://www.kofufujiya.jpRyokans with fewer posts could be more tranquil.
3.8 24 Tagaoogi / Yamanakako
https://www.tagaoogi.jp/4.1 42 Fugaku Gunjo / Shizuoka Toi
http://www.fugakugunjo.jp/3.9 57 Shoutoukan / Shizuoka Mito
http://www.shoutoukan.com/Meals at Shizuoka side would be mainly seafood.