An update.
Attempting to explain my problem in plain text was doing my head in, so I sent Jim a wiring diagram by e-mail (I couldn't get the BB to upload my image.)
His promtly reply was.
Andrew, Great pic. I can see your "crossconnect" now. Do you need to connect the RCA shield on TX103 to Earth on TX103?
Yes, that's the one that's bugging me too! If I remove it then the hum comes back.
I have tried the following, this morning, in reverse order, worst first.
1) Removed connection between Cornet chassis earch and Cornet PCB earth - very loud hum.
2) Removed connection between 103 earth and Cornet chassis earth - hum.
3) Removed connection between 103 RCA ground and 103 earth (this is as per John C's original design) - low hum.
4) And best of all, the diagram I sent with a cross connection between the 103 RCA signal ground and 103 earth - almost silent, even at full volume, and way below LP surface noise.
Which is counter intuitive to the received wisdom about earth loops - since that is exactly what I've got!
I've half a mind to pop the lids of the 103's and hardwire a switched cross connect between the RCA ground and earth. That way if I solve the problem I can just pop the lids and flip the switch.
Thanks for the advice so far, all ideas gratefully received as this is now starting to drive me up the wall.
cheers,