I don't have your experience, but empirically there's an awful lot of aeroplanes that sport a cambered aerofoil at the back end - and it's stuck on upside down.. take a look at the back end of the next 737NG you see
I also struggle to see how the centre of gravity can be significantly behind the centre of pressure without the aircraft becoming pitch unstable - maybe a small distance, but I would imagine the COG range for the average airliner is rather significant with all those bodies wandering about.