What's the payload capacity of your truck? There's a sticker inside the driver door sill that says weight of cargo not to exceed ____ pounds.
What's the tongue weight on the trailer? Fully loaded, I bet the tongue weight will be closer to 1K pounds.
Without knowing more, 33' is a pretty long travel trailer for a 1/2 ton truck. That 6K pounds of dry weight will probably end up closer to 8K pounds by the time you're loaded up. And forget about the 11K advertised towing capacity. It's marketing BS.
I'd say you're right at the edge of what will be a comfortable towing experience for your truck. I consider anything over 30' to be a large TT and pushing into 3/4 ton truck territory. When we travel, I rarely see large TT's towed by 1/2 ton trucks, and I think there's a reason for that.