Expensive cables do not an RF/noise filter make.
Take all your stuff somewhere else far far away from the place where you hear the noise and see if you still hear the noise. If you live near a radio station transmitter (probably an AM station) your gear might be rectifying the strong RF (Radio Frequency) field. It may not be the pedal, even though it seems to only be happening when you have the pedal connected. RF is funny stuff and doesn't necessarily follow the rules that apply to other kinds of noise.
You may also have grounding issues. That can contribute to noise and RF pickup. For a cable shield to be most effective from shielding RF and noise it needs to be grounded. Otherwise it can act as an antenna.
You may have a pirate broadcaster in the neighborhood. Legit broadcasters are suppose to announce a station ID near the top of the hour. The ID will include a call sign and city of license. "This is WKRP Cincinnati."
If you can get the ID look them up on Radiolocator.com and if it's a legit station you will be responsible for fixing the interference to your equipment. There are measures to deal with this stuff but it gets pretty complicated for the non RF initiated.
If it's a pirate contact the FCC, start at FCC.gov to report it. That seems to be about all they want to do these days is to bust pirates, so they might actually do something. Just don't expect it to happen quickly.
Your best bet though is to figure out how to deal with the noise and RF. Or find someone who knows about this stuff to help you. If it's happening where you are now it can happen anywhere.
