You will be maxed and a little over with your family, food, clothes and everything else in the rig. I would rethink your TV and go with a 250 or smaller unit.
I would recommend the equalizer WDH, but regardless of what WDH you go with, it will not add to your towing capacity.
Dan, Tammy, Cory, Leah and Adam
2016 Chevy Silverado 2500HD 6.0
2018 Highland Ridge Open Range OF374BHS
GM Integrated Trailer Brake Controller