Agreed - they all have student resource/learning centers and people on staff hired especially to help students who require some support and/or accommodations. And if you have updated testing and a current 504 plan in place - I am sure the process to getting it implemented would be pretty seamless!
Will also add that my child’s boarding school keeps pretty much all medication under lock and key and administered by a nurse at the health center - which is great because they have been on it when my child has forgotten on occasion to pick up their meds -I know my child complains sometimes about the inconvenience of getting the meds from the health center but it provides some reassurance to us as parents that they are indeed getting their meds!