This was an interesting study.  This is the list of U.S. News Best High School Rankings.  The first few schools, at least through #6, seem to be charter schools.

As for Ohio, I was surprised by the rankings for Best High Schools in Ohio.

For our area:

001  Cinciannti’s Walnut Hills

002  Cincinnati’s Indian Hill

009  Oakwood High School

024  Yellow Springs High School

034  Lakota East High School

037  Bellbrook High School

041  Brookville High School

049  Centerville High School

053  Waynesville High School

057  Lakota West High School

097  Springboro High School

125  Beavercreek High School