In reply to Steve.

Hi Steve! Support for Custom Post Types is getting added to Calypso now. WordPress.com has a public test environment called Horizon, and there's a request for testing about CPTs at https://horizonfeedback.wordpress.com/2016/08/10/call-for-testing-custom-content-types-in-calypso/ which you can have a look at if you're keen to find out more about the update or if you would like to help test it out.