Don't overlook adjusting your truck's tire pressures to accommodate the increased weight the tongue weight of the trailer. I agree that a weight distributing hitch is a good idea especially since you're towing with a 1/2 ton truck. But tires on either your T.V. or T.T. that are under-inflated for the load can make trailer sway worse than it would otherwise be.
FAA A&P mechanic, ex-RV dealer parts dept
Retired B-52 Gunner/Flight Examiner, B-52 Crew Chief
2016 Jayco Eagle HT 29.5 FBDS w/ 15,000 BTU AC, 50 amp service, upgraded counter top, thermal pane windows, elec. stab jacks, outside grill, backup camera and MORryde pin box.
2011 GMC 2500HD DURAMAX/ ALLISON