we tow a 10K lb, 1500lb tongue weight trailer, 35ft overall with our cc duramax. don't think the dodge would be any different. I've logged over 30K miles towing the trailer, and never had an issue towing. Have a reese dc hitch, no sway even down the columbia river gorge known for almost constant winds. And usually we use backroads that are scenic. IMHO it won't be an issue towing.
The only issue we occasionally run into is with the overall length of over 60ft, backing into spots can be an issue in older campgrounds with narrow roads and right angle narrow sites.