The Antec cases are good, but that one is small and the graphics card might not fit in it.
I've used the Antec 900 & 902 series which work great for gaming builds (never had any cooling issues with them). I've had to remove the fan mount from the back of the hard drive cage, but it works fine.
If you cant afford the HD 7870 then simply switch thr CPU form 3570K to 2500K.The 2500K is only 1-2% faster than the 3570K (when both OC'd) and you'll save some money.
Also the motherboard he chose has no VRM cooling so it's a very bad choice if he want's to use a 24/7 OC.
The Asrock Z77 Extreme4 is a superior choice.
And lastly you dont need any thermal paste if you're going to use the stock cooler it's simply pointless.
He probably wants thermal paste becasue he saw the article on how it fixes Ivy Bridge's temp problems.But he forgot to see one thing.The opened the chip and applied paste inside it for that to work.