Where I went to college I had to have 6 hours of math for a liberal arts degree. The school didn't care what I took in those 6 hours so I went into calculus 2 then 3 and neither was relevant for my major.

It seems to me you could continue to accelerate math right into college if needed regardless of whether it's required for a major or not. At least, it seems to work for liberal arts. Perhaps it wouldn't work so well in other types of majors.

I would think a particularly mathy kid would he able to jump into higher level math in college rather than having to backtrack and go back into college algebra.