PROBLEM:
Can I backup the Kaseya database to a mapped drive?
SOLUTION:
Currently, mapped drives are not supported when trying to perform a database backup from the System tab > Configure page. We generally recommend that Kaseya controls the backups as we also run maintenance during this interval as well.
However, If you would like to perform a database backup to a network share or mapped, you will need to configure SQL backups outside of Kaseya within SQL management studio itself.
Here is a link from Microsoft on how to do this.
http://blogs.msdn.com/b/sqlagent/archive/2010/10/12/create-a-database-backup-job-using-sql-server-management-studio.aspx