I have basically the same truck Soundguy. What I did was I installed a deep cycle battery in the empty battery tray and then installed a 600 watt inverter in the bed of the truck. I wired it to the deep cycle battery.
I then took the duplex AC outlet for the TV, separated the two receptacles so the top one stays connected to shore power and the bottom receptacle I connected to a separate AC circuit which I ran to a male receptacle at the front of the trailer.
I can take a short extension cord and connect the inverter to the male receptacle at the front of the trailer.
In this way When we are boondocking we can watch TV or movies at night by using the inverter power at the bottom receptacle. If we are in a park and have shore power I just plug the TV into the upper outlet. I labeled the receptacles "Shore" and "Inverter". With an inverter in the back of the truck I can also recharge batteries and use AC powered appliances and tools.
I did take it one step further after the first season. I added a remote controlled relay so I can shut the inverter off after watching TV. This way I don't need to go outside to shut off.
