(The driver you need is in the Pro1000\Win32\NDIS61 folder)
Once you have added the driver, check the box so WinPE uses that driver. Also, make sure you uncheck all the other Intel drivers.
Try using DOS or Linux for the PreOS instead of WinPE. If booting into a DOS environment, add the -FNI, -NOIDE, and -NOUSB switches.
When adding the driver for the Intel 82567, there are multiple.inf files offered by Intel. There are two ways to force the use of the correct one: e1k6032.inf
When you unpack the driver files, the files you want will be in Pro1000\Win32. You can create a temp folder and put all other .inf files in the temp folder and get them out of the Pro1000\Win32 folder so Ghost is forced to select the e1k6032.inf file.
Change the SATA settings from AHCI to Legacy or Compatibility.
If you have added multiple identical NIC drivers, they can conflict with eachother even if you have not checked the box for one or other of the drivers. You will want to revert to a default WinPE. If you created a copy of either of the WinPE files, you can simply revert to a default and make a new copy. If you edited either of the defaults, you will need to uninstall and reinstall Ghost to refresh the templates: http://service1.symantec.com/support/on-technology.nsf/docid/2009022510434160
Boot the client machine and update the drivers inside the OS for the network adaptor.