Swap the optical drive from your old PC into this one.
Total: $966 (Before Shipping, rebates, promos or deals)
That will get you a nice gaming machine that is overclock ready, just need to strap an aftermarket heatsink to it (I recommend the CM Hyper 212 EVO). Should max out those games at 1080p, so at that resolution it'l do it quite easily.
It should fit, but the case itself isn't all that great. Not very good cable management options, front I/O is weaker than the Z9+, no transparent side panel, doesnt have the small things like a fan controller and less cooling.
The Zalman Z9+ is what I consider the best budget case.