We drove the "Trace" a few years ago and had a really wonderful time. We did not pull the trailer, we used our itty-bitty car that got about 40 mpg on that trip. We drove to see the Duck Dynasty place in Alexandria, LA, and drove the "Trace" coming home. We did do motels that trip ... AND NEVER AGAIN! OH MY!
We took our time driving the "Trace" and we stopped at almost every attraction on the route. All the while, we had the camper in mind. At that time we had our 31 foot Springdale, and I was constantly thinking if we had the truck and trailer with us, could we navigate. With all but a very few exceptions, the answer was yes. There's parking somewhere, long enough to get out, see the attraction and get going again. Some spots have bigger parking area, depends on the attraction.
There are 3 campgrounds along the "Trace" but more if you get off the "Trace" and find a campground local to your chosen exit. Spend the night, then come back and continue the next day. Here's a link with more campground information and additional links that might be helpful:
Click here. As stated above, the speed limit is 50 mph, and you really do not want to run any faster. When we drove it, we did see several law enforcement and National Park vehicles out and about. Plus, as stated above, there are bicyclists, folks walking, and generally, other traffic. 2 lane road, lots of curves, but nothing sharp. In other words, you just never know what around the next curve... law enforcement, a bicyclist, or an attraction. So, drive modestly and make unexpected stops the normal, and not the exception.
Most of all, have fun. It's a very enjoyable drive. It's definitely one of those roads still left in the USA where if someone is tailgating you ... well ... the may be behind you, but they won't be going over 50 either.