As cleaning the crt grounding clips seems to have made a difference,could it be that the connection is poor further along?Check the crt base connector,they are notoriously troublesome.Clean the crt pins (carefully)and check the grounding is continuous through to the main chassis.
I've had this problem where it was caused by a noisy chip on the av board,but you say you replaced this board.(The one with the scart sockets)
If the noise is not there when you listen via the headphone socket,it has to be due to the speaker relay RL1.Tapping the relay will prove this.
Otherwise,it's worth checking the caps etc in the muting circuit,eg C64,D29&30,C71,70,61&62.
Regards,
nick