will my pickup haul my travel trailer 1000 miles?

I had a 2014 Silverado w/ 5.3L, 4.10 rear end, tow package, heavy duty front end, etc. and it was rated for 9100 lb towing capacity. Towed my camper (~ 6300lb 30' TT) a couple of times and immediately traded it for a 2500 RAM. Why? #1 my payload was maxed out before I was done loading bed, #2 the truck struggled on hills, it was not pleasant. Even after you examine all the numbers you may conclude you will be OK on paper but personally, I never would have towed my TT 1,000 miles with that Silverado.