Odds are it will fit. Even if you have to leave a couple of hard drive slots empty. Or, are they sideways like in my HAF? That would be even better. Since you are looking at a Cooler Master case, go to their website. See if they list either the longest card that will fit or give the clearance between the HD cages and the rear of the box. If not Cooler Master has forums and there may already be a post concerning your graphics card.

Open Control Panel. Then Administrative Tools. Then Computer Management. Then open Device Manager and its all right there. No need to download anything.

And a more-than-capable GPU can be had for less than $300 and will often come with a free game.