Do Not Print Invoices For Customer

Is there a way to indicate to not print invoices at the Customer level?  I see that you can turn off statement printing, dunning, etc, but what about invoices?  We are implementing an electronic payment option and do not want to print invoices for the customers who choose electronic payment, but we can only find that you can turn them "off" at the transaction level.  I have a custom package that creates the invoices from an uploaded spreadsheet and I know I can incorporate this change into that package, but it would be easier to turn them off at the