Nope. I am thrilled that I was able to help you, solve this issue, and spare you a crazy amount of time on hold on Monday!! 🙂
The form you are looking for will have a unique identifier that will allow AMCAS to match the document to your application, and to the specific school, when it comes in. Just like the electronic version. In fact, it's the same exact identifier, and electronic submitters also need to do this to be able to pull the Transcript ID to be able to provide it to their schools!
You will enter the school name under "Schools Attended, Colleges." Once you do this, I am betting your print transcript request button will be enabled.