Remove (not hide) icon from Notification Area for active program

I have installed a new program (Soundswitch) that I want to keep and I need it running in the background. What I don't need is the icon in the notification area. I only use the program's keyboard shortcut and have no need for the GUI. I keep my notification area very clean and only have icons for the three things I actually use in it. Most programs offer a way to disable their own notification icon, but this one does not. And, unfortunately, hiding the icon through the Windows 8 options created another icon (arrow), which I don't want either.

Is there a way that I can keep the program running but have the icon removed from the notification area?

Thanks