Finding power - gnd shorts

I have a small module that is shorted between the +12 volt plane and
ground. I am having a hard time finding where the short is so it can
be fixed.

The bare boards were supposed to be tested, so I don't suspect the
board itself. I have visually inspected everything I can including
looking under the chips as much as I can see and found no sign of a
problem.

My bench supply current limits (foldback actually) and I am seeing
about an Amp into the 12 volt rail. Probing with a volt meter I can
see 10 mV at the point where I connect the power to the board. This
drops to about 1 mV on the other edge of the board. But I can't find
a particular point where the voltage says "here it is"!

Any ideas on how to find and fix this short?

Rick
.

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