... I recently noticed after shutting off all my gear while my 100N+ was still on, there was a pretty loud hum coming from just the left channel. ...
Hi, Mark,
Hum can be a real bugger to get rid of - when I first put my GK-1 (line stage pre-amp) into circuit I had a terrible (unlistenable to!) hum only when I selected one particular source ... my external phono stage. I had to experiment, using an earthing wire with an alligator clip at each end in the phono stage, before I found what took the hum away. What I've ended up with is not logical ... but it IS quiet!!
I have noticed when I switch off my GK-1 but have my AKSAs on, that I get some hum ... I don't consider this to be anything to worry about, simply a strange effect when my system is in an "intermediate" state (really, it should either all be on or all be off ... but, as the GK-1 has tubes, I turn it off to save tube life). Everything else stays on permanently ... unless I go away for a few days!! I know you have a passive pre but maybe the sources which are plugged it, which are switched off, are making your pre act like my GK-1??
My guess is, if you took your pre out of circuit and simply plugged your DAC into the AKSA - with the DAC switched off - you would get the same hum you are experiencing now, when you turned your AKSA on??
I then recently had a different hum problem when I plugged my new TV into my GK-1. This was solved by plugging the TV and all associated components (DVD player, VHS deck, set-top box) into a mains isolating transformer ... yet with my previous TV and the same units, plugged into the same mains circuit, I did not have a hum problem!
Why your hum should only appear on one channel, though, IS a mystery.

Are you sure both channels of your AKSA are identical?
Regards,
Andy