"The highlights are too bright because you have got your exposure wrong. That can be adjusted either by lowering the strobe output or by actually metering correctly."
I don't agree - changing exposure will make the shadows even deeper. If you're holding highlight detail, you're in the ballpark exposure wise - maybe a tad hot but nothing major.
Ahem, metering correctly or turning down the strobes will make the darkside darker but you seem to have forgotten that the added reflector will push them back up. That's what its for and its controllable.