I understand completely about realigning your body when using bhe to keep the stroke feeling right. A beneficial thing to do when using bhe is to pay attention to where your stroke is directed/pointed after the bhe pivot. By doing this (paying attention to where your cue is pointed), you're brain will eventually have your body automatically lining up for the english without the need to first line up straight before pivoting the bhe. You just move right into the proper stroke line that accounts for the spin you're wanting to use.
Maybe we should consult with Lowenstein.
He's an expert on everyone's setup.
The one who claimed his system he uses takes care of deflection and throw.
The video linked here clearly shows the shooter move his grip hand to a different distance from his body when he pivoted.
Wrong again. Might as well be a signature.