Is it ok for GMC Z71 Vortec 350 automatic with 343 gears to turn 2500-3000 rpm for hours towing a camper in 3 gear?

I am sure I will get some slack on this, But trust me NO V-8 likes to turn over 2200RPM.,,, I hear people say all the time that their engine turns 3500 at highway speeds, But, put your truck in neutral and turn it up to 3500 and see if you want to rely on it like that,,,, If your truck is 93 or newer, You can drive it in overdrive with A trailer behind it, It has A computer controlled tranny, It will shift into overdrive with the button pushed on the shifter, and the computer will MODIFY the shift and lockup of the tranny, You need to pay attention to the trans while driving though, When it unlocks the converter you need to either DOWNSHIFT or REDUCE throttle, because the converter is not like A 3 speed auto, It builds A LOT of heat when unlocked, If your camper is too heavy to allow the tranny to stay in overdrive lockup for A while then you do not have enough truck, SLOW DOWN, or GET A DIESEL. NOTE-------This is for CHEVY and GMC only---- The NEW DODGES WILL NOT SHIFT INTO OVERDRIVE AT ALL WITH THE BUTTON PUSHED. I DO NOT RECALL WHAT THE FORDS DO, I THINK THEY ACTUALLY ARE LIKE THE GM TRANNY CONTROLL. Good luck,. Jamison.