Some modern LED TVs can take a PC monitor input, could be worth a try.
I have two Samsung monitors on my PC as work and one of them flashes off and on as the computer is booting. It originally started doing it when the computer was operating normally but after playing with the Hz figure in the Windows 10 monitor configuration I made them equal to each other and the problem now only remains at boot time. The issue started after a Windows 10 patch upgrade years ago and has remained even after subsequent Windows 10 patch upgrades.
Another thing you could try is to scroll around the actual monitor menu using the monitor buttons while it's disconnected from the computer. If it continues to go blank then the monitor is your problem, perhaps a reset to factory defaults may cure it.