From what I have read, the folks who had the most problem with the Dodge automatic trannys were those who "chipped" their engines to make more horsepower and torque than the tranny was designed to handle.
My son has had a couple of Dodge 3/4 ton trucks with autos, and had no problems at all. He towed a 32 foot triple slide 5er with one of those trucks.
Personally, I would never have a truck with an automatic for heavy hauling or towing, as long as I am capable of shifting gears for myself. My Dodge 3500 CTD dually with 5 speed does everthing I ask it to, with no worries about cooking the tranny. For a couple years while full timing, it was our daily driver. It did the job just fine.