Next time you encounter a 6'2" GG take a moment to listen to her voice. Often it will be pitched fairly low. The difference is that men tend to allow their voice to resonate at one frequency while GGs avoid the resonance and use a greater range of pitch. Men talk, women almost sing!
For my own voice, I soften it, raise the pitch slightly, and try to improve my range of pitch. I don't try to do anything too far from what I am used to because I think that it sounds fake.