I just got back last Fri towed 1800 mi round trip in my 5.3 2020 AT4 towed 3500 lb trailer down 900 mi. empty and loaded up a 3700 lb. mustang and towed back. I'm guessing you have a tow package on your truck, when you twist the dial to the trailer icon on your dash a transmission temp gauge will pop up on your gauge display. I had no issues with engine temp or trans temp, engine temp stayed right in the middle and trans never went above 185 degrees and it was 85-95 degrees outside for a good portion of the trip. Your not going to have any problem towing 5000 lbs. Have a safe trip.