If the regimen has been working well for you then that's because of the BP (and AHA probably seeing as you mentioned it) - do the lush products have BP or AHA as ingredients? If they don't then they probably won't work as well for you (and I don't think they have it). I'm not very familiar with the lush products but they might have a gentle cleanser you could try if you wanted - you should check the ingredients first though.

I would go with LUSH products only because they're stuff is all natural, and well they work better for me but everyones skin is different. Good luck

I'd stick to the regimen if its working for you! Might be more but its good quality stuff. Although Lush may be natural, that doesn't necessarily mean its medicated enough or strong enough - even if their products are designed for Acne.