You're going to need to either purchase a 12V TV, install an inverter, or run the generator (when away from shore power).
The most common place to install a TV on a 2800 is on a swing mount mounted on the hanging locker in the v berth. That will allow you to watch in the V berth, or swing around so it can be viewed from the Settee. There is an outlet right there.
You can install an inverter in the bottom of the hanging locker at the stairs, then run a circuit to the outlet in the vberth behind the galley. wire in the inverter to one of the two outlets. This leaves one plug on shore power and one plug on the inverter.