CloudBees support Play2 dists natively - with Jenkins and continuous deployment - you can read more about this here - yes you can run it for free.

How to use:

1. Signup for CloudBees (if you don't already have an account)
2. Run the ClickStart to setup a working Play! 2 app, with repo and Jenkins build service
3. Clone the repo created above - push your changes and then glory is yours !

Alternatively, you may want to just deploy from your Play! 2 command shell directly (using SBT), the plugin for this can be found here.