Accurate resistance meter (miliohm resolution), can help find shorts, because the closer you will get to the short, the lower will be resistance. But it is still tricky, mainly because of variantion of contact resistance of the probes. Also, power rail of a graphics card will be a beefy copper trace or even plane, so resistance variantion will be very small.
Another idea is to inject current to the rail and measure voltage on various rail points. That is also not guaranteed to be useful, but may be a try. Idea is that the current will go to the point of short and come back through ground plane. Because rail has some liitle resistance, it will cause small voltage drops, which can be measured and analyzed to predict a likely point of short. This technique needs a little imagination, hard to explain universally for all possible cases.