1 - install the drivers using dpinst.exe using the following command: dpinst.exe /A /SE /PATH C:\pathtoinifile 

it is no necesary to use complex parameters to make the first install

2 - go to run and search for certmgr.msc and export from trusted publisher and export the certificates from there e.g. driver.cer

3 - use certutil.exe to install the certificates: certutil.exe -addstore "TrustedPublisher" C:\pathtocertificate

4 - after you install the certificate you can use dpinst.exe /A /SE /SW /SA /PATH C:\pathtoinifile in order to install the driver without any UI and ARP entry use the parameters from the above command line  or check http://msdn.microsoft.com/en-us/library/windows/hardware/ff544775(v=vs.85).aspx 

Add all of this from CA in an msi or mst and everything will be without UI