I have a similar problem. If I plug in both RCA cables I get an audible intermittent hum in the right earpiece on high gain. I think it may also be there on low gain but is much harder to hear. Nothing makes it go away
I've tested with just the DX3 connected to laptop on battery, still there. Tested with just the DX3 plugged into the wall and not connected to a computer and it's still there.
Only thing that gets rid of the intermittent hum is if I unplug the RCA cords or switch to lineout or dac mode. The RCA cables don't even need to be plugged into another device to produce the hum, they can be dangling out the back and the hum is still there on high gain. I've tired multiple cables and the stock PS and a Meanwell one and tested on a separate outlet in another room with nothing else plugged in. I'm starting to think the RCA ports weren't soldered properly but I don't know much about these things.
Also should add that the hum is present at any volume level and lower impedance headphones make it more noticeable.