Its a workaround but might be an easy solution, you might just download and install the Illustrator CS6 trial and then just license it to be part of your Creative Cloud membership using the "License This Software" option.
This document describes the process.
Yeah, I saw later that this is what other people were trying with success as well. Gave it a shot and it worked. Not 100% it got registered/attached to my Adobe subscription ID yet, but we'll find out. At least I can use it, though.
Thanks again for your time!
Glad to hear it worked!