Hey @mon0theist! Who is your client’s host, if you don’t mind sharing?
I don’t know of anything completely free that will get you there, but you can always export your Local site and do a manual migration of files and the database. It’s more work, but it wouldn’t cost you anything but your time.
Some hosts will also offer migration services if you send them the zip of your site but I’m not sure if that’s applicable in your case.