That card in your link will support what I listed above, but why dont you just buy a cheap VGA splitter cable and try the method I mentioned above. The problem you are going to have is that your monitor supports only one input method.

Why not buy a digital freeview dongle for your pc? I have one in my computer and its ok as long as I use a proper aerial. I bought a hauppage nova-t USB 2 version for £20.