I'd personally go with a nVidia GTX 560 Ti in that system. You could add a second one at a later date as well.
Your RAM is nice, I wouldn't really change that, unless there are some cheaper sets out there...
I vote that you keep the SSD, even if it means scrapping the H60, or going to a cheaper case.
And last but not least, I'd say swap and get a Corsair PSU... like the HX 650 or 750. That Antec one is fine, but if you can get a Corsair for a similar price I'd do it.