Hi - I haven’t looked at all of the TSAO schools course catalogs but I suspect they are comparable? Hill’s course catalog is available on their website
Independent studies are usually working directly with a faculty member and one of the things my son loves about Hill is how accessible and inspiring he has found his teachers.
Yes they offer AP Statistics, AP multivariable Calculus, AP Physics C, AP Biology…
I recommend you reach out to the academic dean or heads of the departments. When we were deciding, we found everyone at the school was willing to answer our questions and in an honest and transparent way. They were not trying to “sell” us - they wanted our son to find his right “fit” and be happy. No school is perfect and the honesty we saw from the school was one (of many) reasons my son chose Hill.
Edited to add - you may want to explore their Quadrivium Scholars program