The new power transformer (PT-7) has a center tap on the filament winding, which is taken to chassis ground to kill the capacitively coupled noise from other windings. It's transformer terminal 10.
Current production SEX 2.1 no longer has the 120 ohm resistor in the headphone line. That resistor, while problematical with some specific headphones, did reduce the voltage sensitivity of low impedance headphones, bringing them in line with the high impedance phones. (For the OP's 18 ohm phones, the difference would be 18dB.) However, the special switching jack is no longer available so that feature had to drop out. You can get the same effect by switching to balanced operation, since you have the impedance switch boards. What value resistor is installed?
Making the amp itself even quieter than it is would take some experimenting, in order to find out exactly where the noise originates.