I dry camp a lot so I wanted a 12V TV. 12v tv's are stupid expensive though and hard to find locally. After some looking around I found that some of the cheaper small led tv's have external power supplies. FS/BB sell the Insignia brand and it has an external power supply with an output of 12v.
So I bought the TV and then bought a 12v cable and adapter from the source. Now it is unregulated voltage so when your trailer is being charged it could be receiving upwards of 14v but most that have done this haven't had any problem.
The Insignia tv's are the ones with the external power supply
18.5 Insignia
24" Insignia
12v power cable
Type-M plug for use with above cable
YMMV