I had this problem.  When my LED nav lights were on the front comm would break squelch at frequencies above 127mhz.  Both my comm  antennas are on the belly, but the rear one was "shielded" by the wing (carbon fiber) and did not receive the noise.  Filter capacitors on the power lines will not solve the problem, as the issue is noise emanating from the leads going from the constant current power supply to the LEDs themselves.  Basically it is a nice little radio transmitter.  There are three parts to the solution.  The first is to add 0.01uF disc capacitors to ground on the leads going from the power supply puck to the LEDs.  The second is to add a 0.1uf disc capacitor and a 47uF tantalum capacitor on the power lead into the LED power puck.  Don't use electrolytics, as their radial design makes them ineffective at high frequencies.  The third step is to wrap all of the electronics and the area behind the LEDs with grounded copper foil (a Faraday cage).  Once I did all three of these, all of the noise from the LEDs went away.

Pete