Trigger code off of "Run Report"

We need to run some custom code whenever an Invoice Report is run. For example, once the user has clicked the "Run Report" button and selected a custom Invoice Report, we would like to change the statecode and statuscode fields on the related Invoice.

Is there any way to trigger a plugin off the printing of a report?  If not, can JavaScript be triggered when the user selects a report from the Run Report dropdown?