I had the same problem. We're often in campground with cable TV & cable internet. If you turn booster on to get signal to the radio, it kills cable TV & internet. Sometimes we just want to listen to the radio, or leave it on for the dog when we are out.
Someone here, sorry, I don't remember who, recommended this:
Tune Trapper Hidden AM FM Antennas For Cars, Motorcycles, Boats, Stereos, Radios
I mounted the Tune Tapper antenna behind the main TV, ran the antenna down into the compartment with the radio, and swapped the antenna connection. Problem solved, we have great radio reception all the time.