Quite sad knowing you're having issues with the S350DB. What is causing the issue we may never find out.
Looking for reviews of the S360DB and seems to be very good.
Hope you get it trouble free.
About the optical not presenting the issue, eventually it will, if the issue is with the internal amp, which in some form I believe it is your issue, either by interference or by design., As other sockets/sources resulted in the same issues.
My first unit, faulty, was the S351DB, the black one. The issue was present in all outputs but the optical. A week later the optical was affected too.
If the issue is present at any range/input/output, the safest bet is replacement, at least while you can.