Lake Braddock -From the schools page for the high school. Looks like 2800 total or so.
Carmel High School is a four-year comprehensive high school with approximately 4,900 students in grades nine through twelve. From its home page.
Woodlands 4137 according to its school page.
Lyons approximately 4000 from its school page
All are big. Many other bigger schools didn't make it. Some small schools (Tatnall- approx. 250 in high school and private) have made it repeatedly.
Doubt number of students is the deciding factor on how good the team is.
Great Oaks isn't good because of size.
My high school was 2000+ and has never been close and has same demographics as Carmel.