We purchased a 36' bumper pull toy hauler tripple axle unit in 2012. I pulled it with a SRW Ram 2500 until my injector stuck and blew the motor going over the Tetons in 2017. We then purchased a Ram 3500 SRW and have been pulling since. We use the Reese Dual Cam sway control and I have never had a problem with sway or weight transfer. Our tongue weight is 1950 measured at the scale. From my experience having both the biggest difference is power a new truck has. With the old 5.9l we could pull just fine and did from coast to coast loaded but in heavy winds or up the passes it would struggle. With the 6.7l 2017 I don't have any problem. From my personal opinion I would try driving with the current truck, ensuring you have something like a Reese Titan hitch and proper hitch components along with making sure your wiring is perfect for the braking. Lastly, even if you have a new truck, slow is good and keep your distance from the other vehicles.