I am running a dual monitor setup on my i5 alpha using a docking hub. I highly recommend this one as it is USB 3.0, adds all the USB ports you could ask for, while also giving you another HDMI out and a DVI port
I have experienced no issues with this since purchasing it. My alpha is an i5 with a 500GB SSD and 16GB ram. What type of alpha are you using and what drives/ram do you have on it?