Define 'Configure Field Screen' on a project created via REST API

I’m currently using a REST API POST request to create a project on Jira - is it possible to set a ‘Screen Scheme’ using this method as I need to have specific custom fields for that type of project. Was thinking perhaps something like this …

{
  "ConfigureFieldScreen": "MY SCREEN SCHEME"
}

but this doesn’t work.

I’ve also tried …

    "screen-schemes": [
      {
        "key": "projectDefaultScreenScheme",
        "name": "MY SCREEN SCHEME",
        "default-screen": "projectDefaultScreen"
      }
    ]

but again, not working either.

Any ideas or solutions?

Thanks