I was able to resolve this issue by restarting the EV services on that server. The index is now rebuilding for that user.
Interestingly enough, there were no events logged when I attempted to rebuild that index. I also don't see errors in relation to the indexing service prior to restarting the services. However, when the index service was finally stopped, it logged the following event:
The Indexing service had to terminate an unresponsive IndexServer
Index: 1572D24557B98E14CA3BC0FF418CBF8561110000evsite/VolumeSet:2828
PID: 22156
So I am assuming that it was indeed hung up on something but wasn't logging it.
Thank you for all of your help guys.