CD Data files recovery

It seems like I have caught the dreaded CD media eating Bug on one disc of MP3 files. On the outer edge there is an area of 1/4 square inch of random brown spots between the plastic layers which I assume stops the CD drive reading the disc. No other damage is noticable. Drive is a Sony 2X. Is there a way to bypass CD initialisation and read files directly off disc?
Any advice greatly appreciated.
Callala Mitch

Did you try another drive?

One drive only and no problems reading or burning any other C
D. The software needed will bypass CD initialisation and scan any sector of the disc as required. Big ask???
Thanks for contact.