Ok Ports. Ill give you a 737-300 TO at 41,000kg, flap 15 and max power with a TO stab setting of 4.7 units. Lets see if you can avoid any inputs from the speed trim, especialy in widespread heavy thunderstorm activity which is normal around here.
Then again it could be our 73s system is calibrated a bit oversensitive, if what you say about high out of trim force is accurate.