Equipment varies greatly in susceptibility to RF interference. There is a lot the designer can do to make RF interference less likely. The thought about the transmitter is a good one.
Many many years ago I had digs at Dulwich in sight of the BBC Crystal Palace TV transmitter. It was in the tube era, and the high gain first stage EF 86 tubes picked up the audio of BBC 1 perfectly. That was when I devised the RF chokes for the speaker leads. They worked perfectly.
Can you test you receiver at a location some miles away from your residence.
The other thing you could do is connect the receiver outputs to headphones, or a small speaker on a short lead. That will tell you if it is RF getting picked up by the speaker leads.