My findings are that the Ncores do not like 'Y' capacitors.
I agree. Y capacitors create a signal path between the mains live wires and the safety ground. That might or might not be a good idea, depending on the design of your amp. In the case of the fully differential design of the Ncores, and a proper grounding scheme, you are better off without any Y filter.
They are designed to run as ungrounded Class 2 devices which is OK as long as you have everything proper in your electrical service and circuits.
In case you aren't comfortable with the Class 2 requirements, they also seem to be just fine with a safety earthed chassis, as long as the distinction between safety earth and signal ground is understood and maintained.