I recently was able to do capifony deployment. It required me to configure my project, install capifony through gems from the repository. Changed some permissions for the release folder, pushed and then ran cap deploy:cold. Still missing running the fixtures but so far there is only one problem with the css that is having some problems.
For a sharedhosting I can redirect the java and jar, and tell it to shared_files and pick moving in a script the parameters.ini with the db connection information in particular.