Hello, it is very difficult that in a plate all the capacitors are shorted if not impossible, I would recommend that you take one or 2 of these and measure it outside the circuit and observe with a magnifying glass your code, in addition to having a diagram that I help you the circuit route.
I know that they are not all who are short but only one that makes others measure as if they were short. (when nothing there burst or submerged not heated and all the voltages of transistors and IC is there) Then the question arose to ask for help on how to detect which of all the capacitors is the one that is really short, because we can not pass the time taking out all the capacitors.
Of course I understand, you have to use criteria and make a voltage path by disconnecting some stages of its power to see which of them consumes you too much in that case you only check that part, any element such as diode, transistor or integrated can be crossed to even a resistance of surface can be lowered in value and cause low measurements, but you would already know the sector and you are going to check that place.