Sony produces a wireless kit for that system, if you can find the transceiver card for the SS370 side (or just buy a kit that includes one, like the Altus A33's as they close-out) - available from sonystyle
as far as splicing in new wires, don't see why it wouldn't work, larger gauge will be fine (you'll be lower the wire impedance per meter, but if you're going over very long distances its a better overall situation) - just make sure you do a decent job
alternately, if you're really adventurous, you could open the Sony unit up and add in proper spring/screw terminals to the receiver (don't do this if you don't know what I'm talking about, please, would hate to see someone injured) - would let you do whatever you like with respect to wiring
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