How to block a delivery when an A/R Down Payment Invoice is not paid?

1. Create and add a Sales Order

2. Create and add an A/R Down Payment Invoice based on the created Sales Order (set DPM % to 50)

3. Create and add a Delivery based on the created Sales Order

The delivery is not blocked.

Is there an easy workaround/alternative to ensure goods are stopped from being delivered when a customer hasn't paid a certain amount upfront?