2003 silverado 2500

We tow a similar size TT with our Silverado HD2500 although it's a bit heavier being a toyhauler, and have very little issue doing so even here in the mountain west where we live and do most of our RVing. As long as you don't mind letting her rev up, she we'll get the job done. Obviously mpg isn't great but typical for most gassers, similar to your Chevy our Silverado has the same mileage as it is exclusively dedicated to towing our rig and just sits in the garage otherwise.