Does the Ram have coil springs on that model year ?
Some trailers simply tow better than others and you can feel bow waves from overtaking semis. Its really not sway but push n pull of the air pressure. IF all else fails , on some models, the tt axles have to be moved back maybe one inch to increase TW. Check with a good mechanic who knows your TT brand.
If you have a Prime Time Tracer 275 at 33.6 ft, its a good load for a 1500 Ram. Go to a scale and weigh it properly, hitched/unhitched/tongue weight as well.
Air up all tires to max cold pressure. LT tires on truck would be a plus.
Because you might be maxing out the trucks payload, your hitching procedure is more important than the on the F250. Follow the correct procedure for your hitch and start by taking a level to the ground measurement of the trailer frame front and rear prior to hitching up.
Measure the inside height of the trailer coupler and allow the trucks hitch height to be about 1.5" higher , prior to hitching up.
Also take the trucks wheel well measurements front and rear prior to hitching up and then again after you hitch it and add the spring bars.
Re-check the wheel well measurements, the rear should squat an inch and the front remains about the same.
This allows you to have traction on the rear wheels and at the same time allows proper steering. Your spring bars need to be of correct size and tension and be close to level to the TT frame.
Trailer tanks for fluids should be empty and load the trailer so the load is balanced. Make sure you have enough hitch weight.