LM317 appears to be the most appreciated CCS building block amongst
solder-slingers(term (c) John Broskie). Personally I never felt relaxed having such a complex OpAmp-based circuit in the audio-signal path. Nevertheless many routinely utilize this type of CCS in audio, including "pure" tube designs. Recently I was playing happily around cascoding JFETs and MOSFETs for the CCS in my own design.