Depends on the equipment you have available.
You could:
1. Copy each desired track to your HD then due a single burn. You have to swap disks while copying to the HD but at least you can leave while burning the disk.
2. Have a couple of CD/DVD drives (or a CD jukebox) in your PC.
3. Network all the PCs you have available that have CD drives then make all CD drives shared devices to the PC with the writer.
4. Put the audio CDs into your multi-CD stereo system, cue them & then run audio leads from the pre-amp to the stereo 'in' of your sound card. Record the input to the HD so you can tidy any analogue noise artifacts before writing the CD. You'll need appropriate software though...