While it may solve your radio problem, I am not so sure if lifting the ground on your preamp is a good idea for electrical reasons.
You may now have a system that is not grounded to anything anywhere. It could be a shocking experience if you become the ground if/when you touch the wrong thing.
You may now have a system that is not grounded to anything anywhere. It could be a shocking experience if you become the ground if/when you touch the wrong thing.