trailering/towing

Hi, I have a 2000 Chevy Blazer with the factory heavy duty trailering package. I have towed many a pop-up camper with no problems. I just purchased my first travel trailer. It is an ultra lite with a GVWR of 3750 lbs. My Blazers door sticker reads 5350 lbs GVWR. My question is do I need a WD hitch or sway bars for this TT/vehicle combo? If you tow (or have towed aTT with the Blazer please tell me about your experience. Thanks for any input.