Migrate WooCommerce Orders

I need to export/import all WooCommerce orders from a clients old website to their new website. We basically took their website, redesigned it but the install and everything is the same - besides there being two versions and both are on different servers. We tried replacing postemta and posts but that messed up EVERYTHING, like the pages, menus, etc.

We are on a tight deadline (every moment is crucial) and we need help on this. We are aware of the plugins, but if there is a dirty way to do it we are open to it.

To reiterate: we need to move just the orders from one site to another without messing everything else up.

Thanks in advance!