If you've currently some of the ground wires linked to the output 'hot', then that will cause the hum when you touch the strings/hardware. The circuit board layout is slightly different to the PBG kits, but the connection setup appears to be essentially the same. From what I can see the connections should be like this:

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The Bridge pickup ground and tailpiece/bridge ground wire can connect together on the same point which links them to the output ground. Have you tried this configuration?