And just for performance, I substituted table variables for the temp tables (and renamed the variables to fit my team's conventions) ...

USE [master]

GO

SET ANSI_NULLS ON

GO

SET QUOTED_IDENTIFIER ON

GO

CREATE PROCEDURE [dbo].[procGetDbMailInformation]

(@intRowCount INT...

The DBs will back up sequentially within a maintenance plan. A maintenance plan just builds up the needed SQL commands for you and fires them from top to bottom.