Gracie,
It seems as though your PM has charged separately for a tenancy preparation, so 1/2 weeks letting fee still seems a bit rich if you have found and vetted the tenants for them. However, they will still need to prepare the condition and/or inventory report which is a few hours work, so I would be surprised if they waive it completely. They may negotiate an hourly rate or a fee for service for you though. My PM offers a separate service for self managers i.e. they will do one off jobs for people who self manage their properties. Your PM might offer something similar.