Joe,
If you keep the wire out of traffic areas (near walls), running it under a nice heavy pad shouldn't be a problem. I have used Radio Shack's flat(ish) cable in this kind of application and didn't have any problems. If you walk on it regularly, it will cause the carpet to form a wear line...
This may explain a flyer I got in the mail today offering what appears to be a Sony BDP-S300 (pic is small, no reference number given) offered for a special sale Feb. 1 and 2 for