If you can access the file system why don't you write a program to access the FileSystemObject and find files which are empty for the badge image field? This way you can get a report independant of SSRS.

Report Manager uses Report Builder to modify the report.

This is just an hypothetical method: Create a linked report with Photo(badge) as the parameter and create two folders Badge and No badge. Using this parameter you may be able to populate the nobadge folder. Report Manager can create linked reports.