You need a program like
Little Snitch.
Unlike a firewall, which monitors incoming connections, LS monitors outgoing connections.
If a program tries to call home, or anywhere else, a window will pop up asking if you want to allow it. In this case, choose "forever" and "no", then every time it wants to connect, LS won't allow it.
You can download the demo from the link I provided. It will only work for 3 hours or so before it quits and you have to launch it again, but if you launch it before you register it will work fine. The only thing is, Adobe apps try more than once to connect, so you'll have to have LS running all the time so it intercepts all of the attempts. That means either buying a copy, or finding one elsewhere.
If you want to find Mac specific stuff, like LS, I'd suggest joining
this site.
You'll have to register, and you'll have access to a few basic forums, but once you make 5-10 posts, all of a sudden the "good" forums will become available to you.