I just spent some time searching through Google Drive apps for one that would convert Docs editor formats into PDF, but I came up empty-handed. (That said, Drive apps are always a good place to start looking if you need a feature that Drive itself does not include or, in this case, no longer includes.)
I had no idea that Google had altered its whole file-export model to be so restrictive. It turns out (as I learned from the Drive Help Center) that even trying to download a single, say, Google Doc from the Drive file browser screen will only ever yield an MS Office file.
It appears that the only way to download a Docs editor file—Docs, Sheets, Slides, etc.—as a PDF now is to open up each file and go to the "Download as" sub-menu.
That, and Google Takeout, which would also let you download as PDF in bulk, but you mentioned you don't currently have access to that on your Google Apps domain. Perhaps you could bring it up with your Apps administrator, especially if not having access to Takeout would hinder your productivity?