Hello, My Macintosh shows a chess board despite recap and a new EPROM. I also cleaned the board. But when I take out the RAM expansion, the Mac shows valuable lines.
First thing you should do is check the voltages off the hard drive molex connector. Put a multimeter in the first and 3rd pin and then the 2nd and 4th pin, these will be your 5 and 12v rails, not sure which is which. If they're too low or too high, you've got analog board issues.
I take it you've already washed the board, then done a 99% IPA wash down to make sure there isn't any gunk left anywhere?
Assuming that, I'm guessing by your first post you meant "video lines" which would be a good indication that the RAM on the logic board is the source of the problem in some manner, broken trace, bad chip, etc...