Wade,
Your assumption about using your AC/DC TV is incorrect. The TM's CONverter distributes the 12V DC (produced by itself or the 12V "house" battery), and when connected to 110 VAC, it produces the 12V DC and charges the house battery. It is not capable of producing 110 VAC power. (INverters, a separate third party device, do that.)
If you want to watch TV when dry docking, you will need a AC/DC TV so you can power it with 12V DC, (none of the campers 110VAC receptacles will be "live"
, or an INverter plugged into one of the 12V sockets, sufficiently sized to power a 110VAC TV.
Sure hope I dodn't confuse you too much! :P