My CD Radio has got gremlins

My 2004 Winnebago Class C had a Jensen radio in an outdoor panel. Late one night during a winter trip to Yosemite my DW said as we sat around the dinette "who's playing music at 11pm?" I opened the door and found no one camped anywhere near us. So I bundled up and went outside to find the radio blasting away. I opened the compartment and shut the radio off only to have it come back on a few minutes later. I turned the volume down to zero and shut it off. Next morning, I found it on and dug under the dinette to find the fuse and pull it. I called Jensen when I got home and they said that it happens sometimes from any kind of rogue radio waves. My solution was to find the power wire coming off the radio and put a rocker switch next to the radio.
Also, make sure the remote if stored somewhere doesn't have any buttons being pushed.