Is it possible to repair a PCB which has suffered a DRC failure?
When ever I have PCB errors that cause something to be shorted to something else, I pull out my handy dandy razor blade and go at it.

In your situation it looks like you might also have an issue with solder causing a short. If this is the case, find anything that you can place to add an insulator. The hard part is going to be finding something that wont melt while soldering. Maybe someone else has a suggestion with this, I would try electrical tape and hot air gun soldering.