SQL Scripter can be used to download all report files from a Reporting Services database in a single step.

Reports
There're several benefits using SQL Scripter to download/backup your reporting services files.
  • The source is always a reporting services database. This could be the current version, or just a backup.
  • There's no need to setup a full reporting services web environment to access the reports.
  • Trying to use the web default environment to backup your files will result in endless clicks.