Here's a couple of things I can think of:
a. If you're turning in the direction that tilts the tail rotor thrust downwards, the nose should drop.
b. Tilting the lift vector with no compensating increase in collective pitch should cause a sideslipping descent, and if you have a decent fin surface, the aircraft should weathercock downwards, so to speak.
Caution: that's just off the top of my head, so could be all crap!