Towing with a half ton

I towed a 5,500 pound travel trailer all around the USA w/ my 2011 Silverado-5.3 with the same gears as yours. My payload is 1444 pounds. I believe you probably have about 400 pounds more with the newer model, but check inside your driver's door jam. I would suggest no more than 7,000 pounds ready to camp. This will put you in an area known as "Ultra Light" Travel Trailers. Please note there is no standard for this term so the RV dealers call everything and anything Ultra Lights. The 9,500 pounds is meaningless because if you camp with other people (you said you have kids/wife) and gear (firewood, easy ups, bikes, dog, bar-b-que, ice chest etc.) you will reach max payload before the maximum towing capacity of your truck.

With half-tons that's just the way it is.

Please do your homework first and DON'T LISTEN TO THE RV SALESPERSON!!

On Edit-IMHO some of the trailers listed by "RinconVTR" below are too heavy for your truck. Again-Just MHO.

You can PM me if you wish through this forum.