This is poor help, but...
"It's gotta be something..."
A lot of board repair comes down to just not being willing to give up.
You have to persevere and keep working on it when it no longer makes sense to do so.
I can't tell you the number of things I've fixed just because I kept on it longer than all of the other techs.
Two helpful things for my approach:
Stop doing, and think. In particular, think about what the board's condition is right now, not where you started, not about what you've already fixed. Think very carefully about what the board is doing right now, and how you would approach that problem. Don't think 'well, I'd replace the PIA, but... I... already... did... that...' That's a loop that stops your creative problem solving.
When I'm stuck, I have to approach it as if it were a problem that is new to me. Re-examine things step by step and don't allow myself to consider what I've already done. Examine it as if it was someone elses work.
The second thing that is helpful for my approach is Randy Fromm's board repair technique.
Get the schematic that shows the section of the board you are looking at.
Enlarge it if necessary, but make a photocopy.
Test something. Maybe a chip. When that part has been completely tested good, or better yet replaced, use a yellow highlighter on that part of the photocopied schematic. When a wire goes somewhere, check the trace on the board. Then highlight it on the schematic.
When your schematic is all yellow you've solved the problem.
These methods have been very helpful to me.
Good luck, and let us know what you find!