Don't get obsessed with putting things in the truck, thinking that somehow preserves towing capacity! Every pound you put in the truck reduces your towing capacity by roughly 7 pounds.
I can pretty much guarantee that you don't have 1800lbs of payload capacity. Using real world weights you are closer to 1200lbs, and by the time you put your family and the trailer tongue on the truck it will mostly be used up, and your truck will look like a giant stepped on it.
You can tow seven times as much as you can haul. Anything that can go in the trailer should go in the trailer.
