Datasite doesn't maintain any content of a deleted project. 

If you require the content of a deleted project on an additional encrypted device delivered by Datasite:

1. A new project needs to be opened.
2. The content of the original device needs to be uploaded into the newly opened project.
3. A new USB device can ordered in the Archive tab > Request Archive > Request USB.

Another option is for you to save the device's content to your local computer and make additional copies to ship to the required recipient directly.