Can cross dock process be configured to print OBLPN/shipping label?

We are working on the configuration to begin using cross docking. When a cross dock PO is successfully received the IBLPN and OBLPN are created and OBLPN goes to packed status. The system generates the IBLPN label but at this point we need an OBLPN label (which has destination information) that goes on case getting cross docked for shipping. Is there any way to have system do this without manual intervention? I tried configuring Label Template using Order Type and ASN Type with our shipping label but system seems to ignore this, and IBLPN tag is printed.

Any suggestions or best practices appreciated. Thanks!