On the AM radio, you might find that you can use a small cap to connect what you just isolated( and discovered the RF issue by doing ). Small, as in .01 or .005 uF of ceramic cap. you don't need much voltage rating, so it won't have to be big( like a 6kV .01 uF would be ).You don't want much connection at audio frequency( else it will conduct the hum that youisolated for in the first place ), but at RF you want a dead short. Ceramic of the proper size can do this for you I think.
regards,
Dogulas