I believe that @mresseguie made some very insightful points. Given your description of what type of sonic presentation you’re seeking the non over sampling (NOS) DAC approach make a lot of sense. As mentioned above the overwhelming format available is Redbook CD. Much of it is well recorded.
I would focus on good quality DACs that strive to extract the musical beauty and naturalness good CD playback is capable of. There is a well made/engineered Swiss made NOS , Merason Frerot DAC. Not a common brand talked about on this forum but worth checking into. It fits well within your budget target. @soix mentioned the Musician Audio Pegasus , also worth investigation.
Charles