Mike
Thats because you have single coil pickups, thats a feature.
The simplet option is to try out a wirless kit for you guitar, in the long run this might sound stupid but by the time you have spent money on a tech to shield or star ground your guitar, then you find it doesnt work, so you try an alternatvie set of pickups and still have the noise etc....
Actually, check out http://www.tvjones.com i 'think' he might have humbuckers that are the sam as the DeArmond's that might resolve the problem, but then you will have a change in sound.