I actually signed up with CloudFlare through CloudFlare's site because I didn't like that DreamHost requires "www" to be added to domains.
So that's why I was wondering if W3TC does the job the CloudFlare plugin did and corrects those IP addresses?
I did contact CloudFlare support to ask that question and they couldn't give me a solid yes or no answer. So they told me to contact someone at W3TC to be certain.
I'm going to take your suggestion about leaving myself a comment and checking to see if the IP actually matches me - simple enough test. Thanks!