Any idea how to figure out which camp a particular school is? There are wealthy zip codes with excellent public schools, but there are also crappy private scho

Any idea how to figure out which camp a particular school is? There are wealthy zip codes with excellent public schools, but there are also crappy private schools so the public/private distinction is not always telling. Scores also don't work because they test dumb rote learning and have become gamed. I would love to find a school where teachers are the kind who know math/other subject "intuition" behind the knowledge like they had in some Soviet schools.