If OP does well in precalculus in a rigorous private school, s/he should be able to handle calculus in college, and, if in doubt, would be allowed to take precalculus in college before taking calculus. Calculus does NOT need to be passed before freshman year in college, it can be taken in college.
In addition, imagine our freshman OP realizes s/he is really good at math and loves it: s/he can accelerate later on. And if his/her school won’t let him/her enroll in calculus even though s/he completed precalculus at the local college, then s/he could take calculus as dual enrollment too.
In short, there’s no need to create pressure in one subject for a freshman. OP has many years ahead. 