Please note that the amount of C1/C2 errors in a scan is subjective - it depends on the drive as well as the disc, and can vary from scan to scan.
Drives which support CD scanning, which you can currently buy, and that to my knowledge report C1=BLER=E11+E21+E31 as they should:
Optiarc AD-5200A/S , AD-7200A/S, AD-7201A/S, AD-7203A/S
There may be more such drives that I haven't tested.
I'm not sure about the currently available LiteOn CD-RW drives such as the DH-52R2P or combo drives such as the DH-52C2P. The latest I have tested being the SOHR-5238S and SOHR-5239V which aren't being produced anymore to my knowledge. The C1 reporting of the SOHR-5239V has been challenged in this thread.