Of the two amps you've mentioned, I would go with the C352. Whilst the Evidence 470 is quite sensitive, it's low nominal impedance of 4 ohms suggests that you would be better with an amp that can deliver better into low impedances.
Personally, I would look at a 2nd hand Musical Fidelity A3, with almost double the power and better current delivery, it would drive your speakers perfectly.
No issues with the CD player - any NAD should pair well with the NAD amplifiers. I used to have a NAD 524 CD into an old 3020 amp driving Rogers Studio 1A and they made great music together. The Rogers had an easier impedance than your Dali's however.
Personally, I would look at a 2nd hand Musical Fidelity A3, with almost double the power and better current delivery, it would drive your speakers perfectly.
No issues with the CD player - any NAD should pair well with the NAD amplifiers. I used to have a NAD 524 CD into an old 3020 amp driving Rogers Studio 1A and they made great music together. The Rogers had an easier impedance than your Dali's however.