SharePoint 2013 OnLine: Is there a way to use workflow or another method to copy a document set to another library to avoid the delay caused by the content organizer timer job?

Is there another way to immediately move a document set      to another library in a another site?

Here is what I have done:

1. Created      send to locations in SharePoint Admin Records Management using the      service: /_vti_bin/officialfile.asmx
2. Enabled      Content Organizer in both libraries and added specific content type to      drop off library in target site as well as target library
3. Created      rule in target site to send specified content type to target library
4. Process:
   Create document set in originating library
   When document set is ready, select it and sent to other      location
   The document set is then zipped and sent to the drop off library in      target site
5. Overnight      the document set is successfully moved to target library by the content      organizer timer job.

Problem: I can’t wait that long. Once document set is ready and the copy initiated, I need it to arrive in the target library within minutes.

Is there another way to achieve the same result without the time delay?

Any guidance would be greatly appreciated. I am not a developer. Thank you.