I would not send in AP test scores. Yes, you’d be behind those who got the straight 5s, maybe even the 4s and 5s mixed who are the prize catches, particularly for the toughest AP courses. But you wouldn’t get that lift in the difficulty of courses category for your test scores anyways , that high scores would give.
Usually, these very selective colleges tend to go for the top 2 or 3, maybe 5 top students who are taking the most difficult courses the the high school is taking. When you are talking single digit accept rates, with as many applicants, it is very competitive.
I’m just trying to let you know that it is a very tough go to get accepted. However, your mindset is the most important in this process, so if you want to give it a go, apply to those schools that you want. Just make sure you spend a lot of time finding schools that do not have such odds because that’s where most applicants end up. It makes me shake my head that the schools with the most likelihood in where the kids will be spending the next 4 years, their parents paying for it, and being where these kids get their college education and degree get a fraction of the attention and time of the lottery ticket schools. HPYSMC et al are not going care much about how much you love them and want to go there. And there isn’t much you can do for them. But the realistic choices that may also be selective will care, and they often do not get that demonstrated interest needed. Nor are they even picked with much care.