Hi Josh,
I've had a similar problem in the past where feedback left by an individual didn’t reach the standards of behaviour required by HR. We isolated the individual via the time stamp of when the feedback was left and the site logs.
Subsequently, we bypassed the issue of anonymity in the Feedback module by removing the text in the Language file that displays Mode & the statement about your details being recorded, and our vendor customised the plug-in to hide the option for anonymous mode.
Cheers
Austen