I do not understand the need for elaboration on automatics. Boeing says you disconnect A/P and A/T. That leaves you with manual flying. As you press TOGA, you get most of the time a 15 degrees pitch up command. Then firewall the thrust levers. Your EEC`s will take care of max thrust.If not worry about this later. If needed, increase pitch up to stick shaker to have a positive climb rate, and stay away from the ground.
Did I miss something in the question?