any US boarding high school recommendations?

Hi everyone, I'm currently looking for some private boarding high schools in the US. I'm not sure if this is the right place to ask so if there are any other subreddits that might be helpful please let me know.

I'm very interested in basically everything about music, especially music production, elec guitar, choir, piano. I also am very interested in humanities – say philosophy, polisci, econ, law, etc. Therefore, I hope to find a school that has strong programs in these areas, as well as opportunities for community service and clubs.

Since I am an international student, I do hope to find a school that is rather inclusive, without any racism. The school should preferably be somewhat academically rigorous (say top 50 or above) in the nation.

The schools I'm currently looking at are Choate Rosemary, Lake Forest Academy, and Mercersburg. I will be applying as an international student, and only have the Duolingo English Test and PSAT score. Any suggestions about which schools I should look into, or comments about the schools I've listed, are appreciated!