Hardly anybody at my school takes AB before BC... it's either one or the other, right after Pre-calc. It may be because my school also offers Multi-Variable Calculus after Calc BC, but anyway... I am in BC right now and am LOVING it, and I have a very similar class load as you. I'm taking 5 AP classes (one of which is independent study), as well as band and two college classes.
I would suggest BC, because you are doing well in Precalc