Joe: Weight distribution hitches are an excellent way to go. You almost never see a travel trailer without one unless it's a huge truck and small trailer.
They distribute 1/3 or weight to front axle, 1/3 to rear axle and 1/3 to trailer axles. Due to their design, there is friction created at the hitch which has some effect as an anti-sway device. It's not a true anti-sway device but does help eliminate some sway.
I'm 61, and in 1967 my folks had a 22' Silver Streak trailer they towed behind a Pontiac Bonneville with very soft suspension. The car, without the trailer hooked up would drag the hitch going in the short but steep driveway. When the trailer was hooked up, it no longer would drag. The whole vehicle settled evenly and level. I towed that car/trailer thru 40+ mph cross winds with no ill effects because of the solid conection.
Also around 1967, when the Olds Toronado came out (First big American Front Wheel Drive vehicle of modern times), the Ezy-Lift hitch company took two of them, removed the rear wheels and wired the axle up off the ground. They hooked a 25' travel trailer and a Jet Ski boat and trailer behind the cars and drove them from LA to the Colorado River and back, 600+ miles total WITHOUT THE REAR WHEELS OF THE CARS ON THE GROUND.
They trully do work, particularly when the tow vehicle is at or near it's maximum rated tow load. For the few hundred dollars invested, they last a long time, provide safer towing and easier driving.
Good Luck.
Joe1