When I saw on their timeline "February 20164 hosting providers propose 1-click install of Cozy." I had hoped DH was already among them! (right down at the bottom of this page)
Please and thank you!
It looks like it's trivial to install on DreamHost DreamCompute... My suggestion would be for someone to write a piece of documentation describing how to install Cozy on a DreamCompute virtual server. DreamHost has a program that offers free cloud resources in exchange of documentation like this, too.