revamp, a mic is only part of an overall system. "Harshness" could be caused by mic positioning, levels, room acoustics, mics pres, A/D converters, D/A converters, substandard cables, monitors, monitor amps.
If you're not getting harshness from some of your other mics, then I'd suggest using a pop filter on the B1 and also work with mic positioning. Rather than singing straight into the diaphragm, try singing aimed at the top or bottom of the mic.