how to create an invoice from Ariba as "parked and completed" when it gets to SAP?

Our current process requires the invoice to be automatically created with status "Parked and Completed". As we are implementing Ariba we see that the only two status options for the Invoice to land in SAP are "Posted" (default) or "Parked" (by programmatically changing IVTYP to 'J' in the

IF_ARBERP_BADI_INB_MAP~MAP_INVC_TO_BUS2081_IN_PRE method).

Is there a way (short of re-writing the inbound process via BAPI) to have this created as "Parked and completed" or change it to "Parked and completed" after creation?

Thanks for any suggestions