More real world weights, from the RVSEF at the 2011 Goshen Rally. These are with the trailer on, tanks empty, loaded as I feel we would travel, and the wife in the truck. We don't carry Grandma's heirloom collection of cast iron cookware with us and other than some wood cribbing blocks, a 12V generator in a box and some tools, the truck bed is empty. Fuel load at the time was about 1/4 tank (about 15 gallons) since we'd just arrived at Goshen from Indian River, MI.
Front truck axle: 4400
Rear truck axle: 6600
Tow weight (trailer): 14525
Vertical load (pin): 2950
Front trailer axle: 5650
Rear trailer axle: 5925
Our GCWR is 23500 and the actual combined weight came in at 22575. With the exception of the tire on the front driver's side of the truck, all weights were under their limits. The tire required less than 5 psi over the sticker pressure (66 psi) to compensate, per their recommendations. So I run them at 70 psi when towing.
Granted, your actual weights may be different when you physically weigh your TV and rig, but these will give you some idea of what to expect.