Silverado 1500 Towing

I have a ton of expierence towing with practially the same set up. I had a 2010 Chevy crew cab same engine and rear as you. We towed a 2011 27' Stealth toyhauler fully loaded with our rzr and 6kw honda generator and enough camping stuff to last us 2 weeks in both the trailer and some in the bed of the truck. Dry weight of the trailer is 5575. fully loaded the total weight of the trailer excluding water but including 32 gallons of gas in the fuel station was 8790 pounds. we used a reese WD hitch and sway controller. We made 3 trips to Taylor park Colorado.6 trips to the ozarks in Arkansas,4-5 trips to NW Oklahoma,1 trip to West Texas, Several trips around Texas. On the open road under good weather conditions I routinely ran 75 MPH and west Texas and other remote areas 80 was not uncommon. I pulled up and down Monarch Pass in Colorad as well as Cottonwood Pass. Very long Steep curvy climbs. Truck handled this fine. On normal terrain other than mountains no problem. Never had an issue in the mountains but obviously wouldnt want to try it with less truck or more trailer. We have since traded up to Fuzion Fith wheel and Powerstroke diesel. Your combo will work quite well regardless what anyone computes with charts. How you arrange your load will affect how it feels more than anything. I found that loading a couple hundred pounds in the front bathroom made the trailer very stable to offset the 1500 pound rzr in the rear. Also the climbs up the passes included a full 110 gallons of water as well as we filled everything up in Gunnison. Traded the truck off with 50K on the ODO and probably at least 1/2 was towing the TH. Good luck .