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I'm sorry I don't understand your description. You said a grid of conductive dots right? You'd need two separate grids of dots if you're going to use one-wire. Would you superposition both grids? Then it would short. If you have one 'band' on top and one band below, then it's just a rail setup.

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There's nothing special about ground, it's the same as a digital pin set to low (from an M/C perspective). You don't need to have two separate grids. Just try out combinations of pins as data/power and ground until you get a set that works and float (disconnect/set as input) the others.

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