Maybe you could have a look at Yokohama, there are 4 major International schools with English curriculum from Kindergarten through to year 12:
YIS, St. Maur, (both cost around 3 Mio. a year) Horizon Int. School and Indian Int. school, Yokohama campus. (There are 4 more schools with non English curriculum)
Also, I found a new Int. School „CGK“ up to Elementary for now, then there is the Yokohama Christian school up to grade 5. There are also many Preschools (probably of varying quality).
Regarding Japanese schools, the public El. and Jr. High schools don’t differ much by area (unless you live in a „very bad area“ probably - of which there are not many). The public Sr. High schools range from very bad to very good (entrance exams required as compulsory education ends after grade 9). Whereas private schools - which are mostly concentrated in the larger cities, vary from good to bad, especially the Sr. High Schools. Private schools all require entrance exams - some are extremely competitive - or in some cases recommendations. They can also be quite costly, although less so than Int. Schools and especially among the Elementary schools, many expect the mothers to be not working (unspoken rule).
Closest and only Shinkansen Stop is Shin-Yokohama - 16 minutes to Tokyo, about 50 minutes to Shizuoka - a business district, very few people live there, but on the back side is a nice, expensive residential area (Shinohara).
Houses are much more affordable than in Tokyo, of course depending on location, 40 to 70 Mio approx. for a new house, used ones from ca. 25 Mio. No gardens though and very close to neighbors, and to answer your latest question: Houses don’t hold their value, the land does usually, but maybe s. o. who actually bought a house here will be more knowledgeable about that.
The city has a lot to offer, is relatively open/used to foreigners, there are some nice parks, also, it is very clean. Access by trains to the Kamakura/Shonan area to the south as well as Kawasaki/Tokyo to the north is good. Also, summers are a little less oppressive than in Tokyo and the air is cleaner (my biased perception
).