I use Carbon Copy Cloner to backup the Mini to an encrypted sparse image. OS X 10.6 used to mount the image automatically but quit doing so and I can’t figure out why. In lieu of that I built an Automator script to mount the share so that CCC could mount the image. That worked until upgrading to 10.7.
My final solution was to add a final step to the script asking the user to mount the sparse image manually.
This site showed how to do so like this:
tell application "Finder" to display dialog "Empty Trash" with icon 2