I'm not sure if this will still be useful, but we have a similar situation at my workplace. Previously we would enter the Acrobat key into a database I had created, and then during deployment a script would run that (effectively) polled the database (using the computer's serial number as the unique ID) and then installed Acrobat using that computer's key.
I've just finished up an early version of a utility that can poll Dell's servers with a given serial number and returns the product key for Acrobat XI. It's written in AutoIT and is pretty straight-forward. You can find the code here: http://pastebin.com/XMKjNdw2