Setting up CloudFront CDN on a cookieless root domain

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http://serverfault.com – I have recently set up an AWS S3 bucket for my site's static content, along w/ a CloudFront distribution for my CDN. I have this working using a sub-domain. However, after running YSlow, I realized that cookie data is still getting passed to my subdomain CDN (4 cookies), which I suspect are cookies from the Google Adsense ads on my root domain. So I'd like to set up another dedicated root domain for my CDN. My question is, if this new root domain is dedicated to just my CDN, what should I set up as the IP address for the root A record? Obviously, the point of a CDN is to allow it to determin (HowTos)