Transmission temperature plays a huge part in the overheating with an auto. While towing with an auto, you create a lot of friction/heat in the gearbox. The transmission pumps the oil out to the oil cooler which in some instances is either part of the radiator or attached to it. This puts extra heating into the radiator and puts strain on the radiator's ability to disipate the heat.
Solution?... make sure your radiator and cooling system is operating at its best, and/or perhaps consider fitting an extra after-market oil cooler. (you might make sure your auto fluid levels are up to scratch too)
Auto gearbox specialist once told me that for every two degrees above 160c that the gearbox gets to, halves the life of your transmission.
Cheerful eh?
good luck, man!