If a report doesn’t support print management, you can extend the data provider class, the temporary table or what the report uses. In some cases, you may be able to extend the controller and change the report name there. Usually you need to create your own (e.g. as a child of the standard one). Then you can create an extension of the report menu item to use your new controller.
This is a very generic answer; the specific one would require checking how this particular report is implemented.