James1969, Yes, twisting signal wires will reduce it - if it is coming as common mode. In the case of power cord your signal wires are hot and neutral (return). Pitch of the twist should be many times smaller than wavelength (17" for 700MHz) Twisting them with 1" pitch should be fine but I would twist as tight as I can. Noise might be getting in as common mode or normal mode. Transformer should be good defense for common mode as well, but there is capacitive coupling between primary and secondary. For that transformers have grounded shield (between windings). You could also attempt to use common mode choke, winding power cable around toroidal ferrite core. That would create inductance in series for the signals flowing in the same direction in both wires (common mode) but would be zero inductance (cancellation) for normal mode (signals flowing in opposite direction). Unfortunately it is difficult to do (connectors, thickness of cable, etc.) When noise already is or converts to normal mode you can't do much except for filtering. Electrolytic caps inside present high impedance at these frequencies because of their high inductance. Placing low inductance cap in parallel would help, but might create parallel resonant circuit with said inductance. External filter should help but it might create big voltage drops since most of the gear takes power in short current spikes of very high amplitude. That would appear as reduced dynamics of power amp. I bought Furman Elite 20PFI conditioner that has power factor correction. It supposed to present resistive load to the mains. Other than very tight non-sacrifitial over/under voltage protection it has huge inductor and huge capacitor to deliver required current spikes to the load while presenting constant load to the mains. With my amp (150W) it does not reduce dynamics.
At 700MHz shield should be a good defense against noise, since anything induced would flow on the outside of the cable - shield, because of the skin effect. The only problem might be shields inductance. I suspect that better cables have better shielding in that respect.