I have a pair of copper SE anti IC. I run it within inches of an unshielded frame type external linear power supply for my Squeezebox. I have sensitive speakers, tube electronics and a good ear and have never noticed a peep from them. Balanced should cancel out any common mode RF picked up along the way. Unless you know of a specific RF polluter nearby, I wouldn't worry about it with the anti's. Other good brands in this price range are Reality Cables and Grover Huffman.
Sounds like a nice system you got there!
Rich