Displaying a monthly calendar as an EVA: Entity Views Attachment, not sure whether to start with template or eva field

Hi- I've built calendars in the past and much prefer the new way of doing things. However, I'm running into confusion and am unsure how to add a calendar as an EVA: Entity Views Attachment field to a node.

My nodes are Schedule nodes (with a date field among other fields) nodereferencing an Event node:

Schedule ->
              Event
Schedule ->

and not

Event
   |-->Schedule
   |--> Schedule

_{(thx to @das-peter for the nice diagram)}
The idea is that an Event node can have one or more Schedule nodes in order to provide an extremely flexible scheduling system, and I simply want to attach a month calendar to the Event node display of its "child" Schedule nodes' dates.

I'm not sure if starting from the template will provide me the ability to create an eva or whether starting from the eva (which I've already got-- it lists schedule node titles just fine but no calendar) will allow me to generate a calendar. Please help?