I would suggest that you can do just what you want ...

using robocopy by Microsoft. Came originally in the NT resource kit and the /MIR switch (mirror) will retain the file date stamps. Robocopy comes right with Windows 7 and here is a link that might assist you with it:
http://technet.microsoft.com/en-us/magazine/ee851678.aspx

NOTE: The only incorrect information on the page is their statement that it was "introduced with the Windows Server 2003 Resource Kit" I have a copy of it dated 21 dec 99 that replaced the older robucopy which is dated 29 feb 96. They might have meant that the GUI interface was introduced then but even that is wrong as the initial GUI interface was introduced while NT 4.0 was still the OS to have.