@jimp:
You could make an alias, and use the no-ip.com hostname in there, but depending on how their site is setup, their hostname may resolve to several IPs and change around at any time, so it may work fine, or sporadically.
If you really want to filter that, you would need to setup an http proxy (squid) and something (like squidguard) to enforce access by the URL being contacted. Though that could interfere with the dyndns process.
Guess there is not a 100% solution. Thanks for taking the time to answer my question.