It is possible to rename “This PC” using group policy:
add registry entry under: User Configuration/ Preferences/ Windows Settings/ Registry
HKEY_CURRENT_USER\Software\Microsoft\Windows\CurrentVersion\Explorer\CLSID{20D04FE0-3AEA-1069-A2D8-08002B30309D}
Using %COMPUTERNAME% will change it to the actual domain computer name.