How to run EDI reports for certain customers based on type of EDI document (ORDERS, DESADV, INVOICE

We have customers from which we receive orders via EDI.  We also send the shipping advice and invoice via EDI.

But not all customers want to have all EDI documents.

For instance:

We print the invoices in batch in the evening.

EDI customers do not want to receive a printed invoice, so the EDI job runs before the job that print the invoices.

How can we select on the customers who want their invoice via EDI?

We can add the customer number in the data selection. But for each new EDI customer we have to change the data selection of the report.