No experience with BD at all, but from experience with quite a few other 'buckers, serie/parallel switching is very often better - still gives you a much more single-coilish tone (two coils in parallel is what you have in the in-betweens positions of a strat or tele) without becoming too wimpy/trebly (specially on lower output buckers) and it retains the humbucking effect. FWIW, a split gibson-type bucker will never sound like a Fenderish SC, it's not built the same way.
Just my 2 cents...