Will my truck tow safely in the Smokys?

I pull my #5800 dry weight 27(30) footer through the Smokies with a 1500 Suburban. I was nervous till I did it the first time. On that day it was hotter than blue blazes. But, the Suburban didn't complain any. Do not use Overdrive. Be gentle with the tow haul, this is not a race. When you hit a steep incline pull it down a gear to keep your RPMs up. I pull Black Mountain at about 32-3300 RPMs which is about 47 MPH. I don't have to get on the gas very hard to do that and I'm passing the semi-trucks. I avoid the two lanes unless I know exactly what I'm getting into. Or, have a educated idea that I'm not heading for a dead end or hairpin turns. Take it easy, let the other driver's worry about themselves and you'll be fine. Oh, for the downhills.. For example I start at the top of Black Mountain at about 35MPH and I have no issues going down the mountain. It's easier than when I had my class A motorhome.