Integration with Sharepoint Server and Acrobat

I am working on a project where our business users need to host PDFs on Sharepoint (on-premise), open and edit them and then save back to Sharepoint.  Without having to save local and manually uploading. 

I have tried the adobe extension and it allows me to open the file and select "open in desktop app", but once that happens the only save options are local/network drives.  The original Sharepoint path is unavailable, editing via the browser also has the same result.  

I've searched and all of the Sharepoint integration articles indicate that Sharepoint 2016 is the latest version that has full integration supported.  Has anyone successfully integrated with the latest Sharepoint Server versions?  If so any tips?