I did that using Calculus the Easy Way by Downing. Much more efficient specifically because it's *not* rigorous, but intuitive, which is what you want to start. Took me a couple (full) days. Book is dirt cheap too. After that, you can fill in the gaps with any standard textbook by just looking for the theorems in boxes.
The only thing you'll really be missing is challenging integrals (which are more of a problem in BC anyway). The College Board website posts a pretty precise list of the curriculum, with a tasty color palette to boot.