I‘m not sure, but you are going into a 1097ip or something like that? So you need one of the top of the line graphics today.
I was running SH 4 off my Aspire 5536-5224 and it rated the game at 4.0 but my card can only do a 3.1, with is fine for me because I just close some things down before I run. Frame rate is a little slow, but what the hell, so am I.

Now, I did the HDMI thing on a 42” Samsung (2009) and it worked just fine. But you can’t play the G-kids in the house so that lasted about 3 hours. Now, if I’m right this laptop with runs a 3500 ATI Radeon, so if you are running anything better, which is a lot, I don’t see any problems? O’ yes I kept all my driver up to-date too. O' yes with Vista.