JAG

I recently purchased a 2010 Keystone Cougar 27 RLSWE travel trailer. Towing with a 2010 Nissan Armada Titanium. On recent trip with my anti-sway bar on, I encountered a bit of wind and at 60 mph on hwy, started getting a lot of sway. I also noticed wear on the outside edge of my truck tires after this trip. The tires on my Armada were at the vehicle recommended pressure of 35 psi. I spoke with someone recently who told me that in order to eliminate the sway and the wear, I needed to inflate my tires to the max when towing the trailer (which is 50 psi for my SUV.) I have heard different reasons for what causes sway and not everyone agrees with this statement. Can someone confirm that I do indeed need to have my towing vehicle tires at the max pressure when towing the travel trailer? Thanks!