OK, I do not have a complete overlook on what‘s already written here.
Still, just a little hint that might solve the whole thing I guess:
ADI-2 DAC‘s Coax In can take an AES Digital signal, no problem.
Up to at least 5 meters length a standard fitting adapter, XLRf to RCA will do, nothing else needed, not even 110 or 75 Ohm cable.
The adapter’s cable should preferably be balanced, not coax, see (*1).
If the additional ground connection causes a ground/hum loop (might happen), simply cutting the screen on the RCA side will solve that.
(*1) REMARK:
Opposed to analog interfacing, the best AES to RCA pinout is:
XLR 1 –> screen –> X (RCA not connected)
XLR 2 –> wire1 – > RCA tip
XLR 3 –> wire2 – > RCA case
On analog cables screen is connected to both XLR 1 and RCA case.
This does work too with digital, but the additional ground connection can introduce hum by building a ground loop.
If the adapter is built with balanced cable, cutting the screen on the RCA side solves this and usually is a simple task.
With coax cable cutting the screen on either side is no option.
Sometimes it’s possible to cut the link between screen and XLR pin 1, while leaving XLR 3 with screen connected.
This would work too, specifically for short cable legth.