HARDWARE: The Chips in the USB module that convert 12V to 5V is called a "switching supply", meaning it oscillates around 20KHz or so. This acts like a little antenna of noise if they go cheap on parts. If you can replace the USB part itself, I would look into it. I got mine at:
http://spyderstore.com/index.php?route=product/category&path=61
I have no noise at all. I got the cigarette plug and the dual USB. Easy install, I'd try to fix the source of noise first!
EDIT: I also have ALL the LED's from spyderpops: High brake, rear turn signal kits, bumpskid, etc. No noise at all. Noise being injected into a harness can appear as almost anything. I may be wrong, but regular LED strips are just LED's and the current limiting resistors (one per LED). This is a DC circuit, shouldn't give noise unless it is drawing too much power (which I have yet to see on mine). Little power supplies (say for LED headlamps) are notorious for noise, it shows up on all harnesses. I have read where people had to unplug LED's to fix some Can-Bus issue (throwing a code, etc.), IMHO these probably had some little supply to convert voltages; or more than likely a bad connection. Bad connections would draw more power. Since all the products I installed from SpyderPops have the inline adaptors (plug and play), I would feel confident those should never interfere. Something you splice in, I use the same plugs and make my own inline adaptors. Splicing can get you in trouble.
Steve