[RFI] RFI to clock radio

[Alan NV8A]

We have a Sony clock radio with no separate antenna connection: the 
power cord doubles as the VHF FM antenna, and presumably it has a 
ferrite rod antenna for AM.

It's located about 30ft below my 2m/70cm antenna and the feed end of my 
long wire. It seems that no matter on what frequency I transmit, I get 
into that clock radio.

Is there any way of solving this problem other than replacing the radio 
by one on which I can choke the power cord?

Alan NV8A