you built the compressor From the AKAI, right?
here is a link for the schemo>
http://www.sowter.co.uk/schematics/alt436c.pdf30 db is the required level capability, do not know if you need the 1:2 , 1:1 might work,
this would open up the flood gates as far as xfmr choice, you do need a CT on sec,
level should not be a problem as the turns count is very high for a bridging= less flux,
most of the 600:600 bridging i have torn apart have an e shield,
so i would think that a 10K would need a shield also
if you have a lot of hum, relocating probably will not get it all,
try the shielding if you already bought it,
then go for a transformer with a shield if that does not work,
check UTC catalog for 10K:10:, then Peerless or Triad,
Stancor is also good and also always overlooked which means they are cheap,