Set your hitch up right and you will have no issues. Your truck is more than capable of towing that trailer. Most sway events are caused by too light of a tongue weight. Make sure the trailers tongue weight is 12-15% of the trailers weight and you will likely not experience sway.
Dispite some folks belief. Fivers can sway as well, they just don’t have a natural disposition to sway since they have very heavy pin weights...typically 25% ish pin weight.
I ran two sway bars with my 31 ft trailer. It worked great. One bar was fine but the second one really locked it in behind the trailer.
Thanks!
Jeremiah