I have a post about TV selection, and I still plan to purchase a heavier TV at some point. That being said, I am toying with the idea of picking up a travel trailer in the neighborhood of 4730 UVW/68...
If you are not headed for the mountains, you could tow the trailer you are describing. I am not a proponent of towing over rating, but I used a 5.3/6sp/3.08 to move my trailer a couple of times. The moving was between 10 and 50 miles. It was not fast off the line, but it worked.