Colleges don’t care if you took calc 3 or microbiology while in HS, per se. They do care that you have a valid math and science sequence, and that you take the next course in the sequence. If you run out of options in HS, then looking for options at a local college is a fine choice, but there is no reason to accelerate the curriculum to do so.
The danger of taking courses over the summer, as opposed to any other activity, is that one risks as being perceived as a one-dimensional academic grind.