You can make a CD copy of hi-res audio files, but the copy you make will not be hi-res; rather, the copy will be 16 bit depth and 44100 Hz sample rate. All CDs (apart from SACD) are 16/44. Period. No other exceptions. So if you want to maintain the original high resolution on a disc that you burn, then you need to burn an audio DVD, not an audio CD. I've never done that myself so I don't know much about it, but it looks like Tom6897 pointed you in a good direction above.
