The Due DAC and ADC are poor performers, the effective number of bits is less than 12.
For HiFi any I2S ADC will be fine, they are 16 to 24 bit typically and stereo - and the Due has I2S capable
hardware but I'm not sure if there's a library to drive it - could be a complex and involved project if not.
Faliing that go for a 14 bit minimum SPI ADC with 50kSPS or more, that should give 80dB S/N or so.
This thread may explain how bad the Due analog stuff is: Horrific DAC noise on DUE board - Arduino Due - Arduino Forum
(It talks about the DAC, but the ADC has issues too, I think related to the process used for
the SAM chip being unsuitable for quality analog circuitry, or perhaps the digital noise on
the chip being far too high to allow analog circuitry to work)