Anything like Easy Engine for staging sites?

Easy Engine has made my freelance work so much easier/faster! Can’t believe I managed without it for so many years. I’m now looking for something that can make staging sites, say a tool that can duplicate an existing install work on it and push the site live once it’s ready to go, ideally something that would work alongside Easy Engine. Any recourses you can provide would be great.

We have plan to add staging server support in version 1.6 -

Moved to https://github.com/rtCamp/easyengine/issues/535