Unless it is absolutely necessary, don't take anything larger than a teardrop trailer on that road. I just drove it a couple of weeks ago from Westport to Branscomb and back. Just the truck, no trailer. (We were going hiking on a trail that starts near Branscomb.)
Very twisty, very narrow. Blind curves. When you see another car or truck coming, you both have to slow down a little to pass each other. Very few, if any, pullouts. The road is slow -- it took us more than half an hour to go about 15 miles, not towing.
I should add that I am usually quite comfortable towing on mountain roads that are considered tricky. But this one is not engineered for towing at all.
The good news is that it is scenic -- lots of second growth redwood. And there is not much traffic, at least on a weekday.