The power line has already been used, but not in the incoming direction.
It was successfully used many years ago to smuggle information out of a highly secured place by modulating the power usage of a drive array, this was enough to allow a sensor coil placed around one of the wires powering the installation to pick up the bits.
Slow as hell, and probably quite noisy but it did work.
I wished I could dig up a citation for it, it was quite an impressive hack, and they never did figure out who did it.