We have the factory 20" wheels/low profile tires on our 2012 Ram 1500 truck and they are very stable, handle nicely with or without the trailer. As good as can be expected for a solid rear axle truck.
We use 35 psi normal use as indicated on the door sticker. The tire max is 44 psi which is what we use when towing using a good weight distribution hitch (ProPride 1400).
Doug and Cheryl
2012 FC RB, Michelin 16, ProPride 1400
2016 Ram 1500 Laramie Crew Cab 4X4 Ecodiesel 3.92 axles
The Truth is More Important Than the Facts