We had a 2003 S10 with the 4.3 v6 and four speed automatic. It was rated to tow 5600 pounds and we used it with our 17'
EggCamper. Just to be on the safe side I did have an auxiliary transmission cooler installed by a local shop for very little money.
The S10 handled the camper very well as long as we were on level ground. If you don't mind slowing way down on hills the S10 will do fine. Once we went up any significant grade we had to downshift and then had to slow way down in third gear. If it had a five speed, or better yet a six speed transmission it probably would have been fine for our purposes. But since I like to "go with the flow" and hate to block traffic, I wasn't happy with the S10. That's the only reason we gave the S10 to our son and bought a new truck with a V8 and six speed transmission.