Takes several retries for image to stabilize, logic board not at fault

Weeeeird problem.

Recently, when I would turn on the screen, after a brief flash of the video output, it would go dark. Several retries (switch off and back on) later, it will switch on and stay on for as long as there is power. If it switches off either straight from the power source or the OS settings, I have to do the same thing again.

I followed the troubleshooting guide here and ALL the voltages were correct. I checked all boards for anything suspect and found nothing. So I went ahead and ordered a logic board.

I just replaced the board and guess what? The problem is still the same, exactly.

Is there any chance of repairing this screen without spending more cash than buying an equivalent? (logic board was ~$100 + very expensive international shipping).

Thanks

Georgios