Is there a way to set a business rule to move a emailed request to a site?

 

The functionality I am trying to achieve is having multiple email aliases ( site1helpdesk@domain, site2helpdesk@domain, etc) for the mailbox ServiceDesk checks and when a new request comes in via email it is put in the right bucket. Stuff to site1helpdesk@domain being assigned to site1.

 

I am wondering if anyone else has found a way to make this work as it seems like it'd be a useful item to assign on creation.