I found the problem to be the LCD video data cable. More specifically, the fit between the connector on the cable and the connector on the motherboard. I was able to get video without lines after reseating the connector however, heat in that section of the laptop caused the video cable connector at the motherboard to deformed the lines would appear once again.
To resolve the problem, it would require a way to keep the cable connector and the connector at the motherboard to remain in close contact, even as the temperature increased. One way would be to replace the connecters at the motherboard and on the cable. Another way is to force the existing cable connectors to remain in good electrical connection as the temperature increases.