I added two 120mm computer fans and some LEDs to the back of the display

Fans held by 3d printed brackets.

Fans powered by unpopulated 'Panel VCC' pins on mainboard so they come on when TV is on. LM2596 $1 buck converter used to reduce voltage for silent operation. This fan orientation allows airflow to main PCB, as well as TCON. There will be some flow wash over to the PSU and Backlight Control.

LEDs powered similarly.

If the board GND hard to solder to, you can just use extra screw to mount that wire to Chassis GND.