I just did this a few days ago....
Right.
The Client Install.exe is useless. Despite using a /v switch it won't pass commands to the Easiteach MSI.
Here's some steps for you:
1) Install the Client using the Client Install.exe. When complete, grab the file file "C:\Documents and Settings\All Users\Application Data\Research Machines\Easiteach Studio\lite_ctp.dat". This is the license file for Easiteach.
2) Set up AD deployment or SMS or however you want to do it of the "Easiteach.msi" found in the "Easiteach" folder at the same location as "Client Install.exe", making sure to add a -qb or /quiet switch as per usual.
3) Set up deployment by script or create an MSI, whichever you would prefer, that will copy "lite_ctp.dat" from wherever you saved it to "C:\Documents and Settings\All Users\Application Data\Research Machines\Easiteach Studio\"
4) Create shortcuts to all the ITR data main menus. They are found within your AE Resources folder in the relevant years, inside the "ITR" Folder. They are very obviously named. On a machine which now has Easiteach installed, file associations are already set up for these files, so a user can just run that file. It will link through to the rest of the ITR data.
If you want to have the ITR data on the local machine rather than the network for the sake of bandwidth, create an MSI or script which simply contains the contents of the year folders within AE Resources, and make sure that your Main Menu shortcuts are correct.
Hope this helps