You didn't say what state you are from but I would start with the list of teams from the National High School championship and see what teams are from your state.
http://www.uschess.org/results/2018/hs/?page=TEAM&xsection=K12
This is just the first page:

Hi All,
I'm helping to run a high school chess club. So far, we have a lot of folks who are playing within the school, and they would like to play against other schools. We have some students taking advantage of broader regional travel opportunities, but we would like to do some events that are more local, against teams in our area.
Are there master lists of chess clubs for high schools, that we could challenge one on one, like a tennis or swim match? Or do we have to keep finding open enrollment type tournaments for our individuals? Google has given me the result of one strong team in the area, but our students would likely be defeated and disheartened. Any advice is appreciated.