When I connect my U2352A to Command Expert the connection process shows an IVI-C and IVI.net command set available. I have successfully connected using IVI-C and issued some commands.
When I connect my U2352A to VeePro 9.33 (Windows 10) I can open the Advanced Instrument Properties box and go to the IVI-Com driver tab. However there the IVI-COMDriver/Session Name is showing "Unknown". The pull down has nothing else available.
Should the driver be visible in this drop down?
Well, you more or less answered your own question. Note that your investigation found IVI-C and IVI-net drivers. However over in VEE you are asking for an IVI-com driver, so unless you find and download such a driver you really can't expect VEE to do much for you. So- poke around Keysight (or NI if you can't find anything at Keysight) and find the IVI-com driver, install it and then go back to VEE and you should be able to proceed more successfully.