The Halcro outputs over 300 watts into 4 ohms. Your speakers are rated 90 db sensitive with a 6 ohm nominal and 3.8 ohm minimum impedance. Things look pretty good on the power amp/speaker side of things.
You might be overdriving the input to your Classe processor. Your statement that "perhaps less obvious with RCA ICs than with XLRs" supports this, since the balanced connections are 6db louder than the unbalanced. I note that the NAD has a maximum output of 4.2 volts balanced while the Classe maximum input rating is 3.6 volts.
Food for thought.
You might be overdriving the input to your Classe processor. Your statement that "perhaps less obvious with RCA ICs than with XLRs" supports this, since the balanced connections are 6db louder than the unbalanced. I note that the NAD has a maximum output of 4.2 volts balanced while the Classe maximum input rating is 3.6 volts.
Food for thought.