You could use a simple batch file called by Taskscheduler to do it periodically, once an hour, once a day, etc.
Name it makecopy.bat or something. Only one line is needed.
copy /y c:\(foldername)\*.* e:\ (foldername)
The only downside here is that it will recopy everything every time. The y switch eliminates the overwrite prompt.
Not exactly what you are looking for, but I haven't seen an app like you want (dosen't mean there isn't one). I suppose you could write a script to do it.