Hey GrantXTech,
Looks like the DISM string has inconsistencies in it...I assume it is failing to write the log file because based on the string it looks like the network share is mapping to Z: but your output log looks like its trying to write to F: which i assume is invalid. If this is infact your issue the string should look like this if your driver letter in winpe is mapped as Z:
"Z:\Deployment_Resources\tools\dism\dism.exe /Image:C: /Add-Driver /Driver:C:\windows\temp /recurse /LogPath:"Z:\TEMP\%ID%_DISM.LOG /LogLevel:2"
of if it is mapped as F:
"F:\Deployment_Resources\tools\dism\dism.exe /Image:C: /Add-Driver /Driver:C:\windows\temp /recurse /LogPath:"F:\TEMP\%ID%_DISM.LOG /LogLevel:2"
To avoid this altogether use the altiris token %ALTIRIS_SHARE% which will resolve to the letter no matter what it is mapped as... so you will never have to worry about it no matter how the server is configured so the string should look like this...
"%ALTIRIS_SHARE%\Deployment_Resources\tools\dism\dism.exe /Image:C: /Add-Driver /Driver:C:\windows\temp /recurse /LogPath:"%ALTIRIS_SHARE%\TEMP\%ID%_DISM.LOG /LogLevel:2"
hope this helps... :)