Despite its name, Creative Cloud Storage is NOT a dedicated cloud backup service like DropBox or Google Drive.
When I want to share files with colleagues or other devices, I save files to my local Creative Cloud Files folder which is automatically synced to my cloud space. The shared files are then available for download by other devices or people I designate.
When you say you want to "avoid offline media from your timeline," I'm not sure what that means. Can you elaborate?
Nancy O'Shea, Product User & Community Expert
Alt-Web Design & Publishing ~ Web : Print : Graphics : Media