I'm not familiar with the file transfer options for Azure. How would you copy any file to the Azure storage? Can you mount a drive, use an SMB connection(\\servername\c$\foldername)?
Once you find the method(s) that can be used you can create a script or command line that could be used in the Kiwi scheduler to transfer the files. This is what we do for our archives; after the files roll over to the new day we copy the previous files to long term storage.