Towing a Travel Trailer with a 2002 Chevy Silverado Z71 1500 5.3L V8 with tow package?

You need to drop back to about 5000 pounds in trailer weight. The 7060 of you trailer if that is the empty weight once you add luggage and water and supplies you will be over the limit for that truck. On flat surfaces you will be able to pull it but on hills you will bog down. Trailer brakes will help stop it but you are pushing the limit.