I don't understand why you would lose RPM even if working the airplane hard. The engine is capable of turning the prop at 3000RPM at low airspeed....it does every takeoff. The change in speed isn't going to be so abrupt that even a slow electric prop can't keep up with the change.
Was the prop pitch set by an electric motor? Or was it just an electric governor controlling the prop which still uses engine oil pressure/spring pressure to set pitch? The B-24 used the latter setup. The prop controller was prone to failure, usually required an engine shut down and a whack with a rubber mallet (more easily accomplished on the ground).