DVD drives are pretty inexpensive so you might want to just replace it. Finding a quiet drive can be a challenge (very few noise benchmarks). Luckily most are pretty quiet at 1X DVD speed, but then really boost the dB for high speed ripping.
Interestingly my old (2+yr) Memorex dvd writer while slower can rip some disks that my newer, higher speed drives (DVD BURN PIONEER DVR-115DBK, PIONEER DVD-RW DVR-111C) can not. All three are quiet at 1X.
The one bad drive I've had is the Sony AD-7170S, it was too noisy at 1X playback (audible at 4m during quiet parts of movies).