I need to take an entire subsite on our company's intranet (SharePoint 2013 Enterprise) and copy it to our parent company's intranet (SharePoint Online/365). The two sites are completely different farms, webapps, etc. The site I'm trying to copy is not its own site collection - it's two levels down from the site collection root.
I have limited access to the 365 environment, so using a solution file or Powershell is out. I am a site collection admin on both sites. For some reason, I don't seem to have the "Save as site template" option under the site's settings, which was the solution I found after searching, but that is a separate issue I may have to fix provided the template will cross versions as needed.
How can a site admin copy/clone a subsite from a 2013 on-site webapp to a 365 one?