If you were video editing, it would have been good to say so from the start. I assumed it was a gaming build which reflected in my (and Tiny Voice's) recommendations.
Which would you say is more important, the video editing aspect of the build or gaming? On a $1300 budget, you can build a good rig for either purpose, but not both.
I recommend you build yourself an editing rig now, then throw on a better GPU later on. Its easier to do that than it is to change CPU and add more RAM, while also being a fair bit less expensive (considering that you now have leftover parts).
Assuming your budget is ~$1300 (from your parts list), I would go with this build.
PCPartPicker part list /
Price breakdown by merchant /
Benchmarks
CPU: Intel Core i7-4770K 3.5GHz Quad-Core Processor ($279.99 @ Microcenter)
Motherboard: ASRock Z87 Extreme4 ATX LGA1150 Motherboard ($144.99 @ Newegg)
Memory: G.Skill Ares Series 16GB (2 x 8GB) DDR3-1600 Memory ($125.74 @ NCIX US)
Storage: Samsung 840 Series 120GB 2.5" Solid State Disk ($94.99 @ NCIX US)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($64.98 @ Outlet PC)
Video Card: Sapphire Radeon HD 7770 GHz Edition 1GB Video Card ($104.99 @ Newegg)
Case: Cooler Master HAF XM (Black) ATX Mid Tower Case ($119.99 @ NCIX US)
Power Supply: XFX 550W 80 PLUS Bronze Certified ATX12V / EPS12V Power Supply ($39.99 @ Newegg)
Operating System: Microsoft Windows 8 (OEM) (64-bit) ($88.00 @ Amazon)
Monitor: Asus VS239H-P 23.0" Monitor ($144.99 @ Newegg)
Total: $1208.65
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-07-02 02:47 EDT-0400)
Add on a H80i from your local store so you can overclock and you will have quite an editing rig, that's easily upgradable to a better GPU later on. The 7770 isnt the greatest, but it will give adequate performance at 1080p and is only a tier down from the 7850 you chose.
The monitor is an IPS panel, which is better than TN in terms of colour reproduction.
On cases< I picked the HAF-XM as I think its a pretty good "mid"-tower (It really could be considered a full tower), though I can see its aesthetic putting some people off it. Good manufacturers to go for are NZXT, Corsair, Coolermaster, Fractal Design (The R4 is great if your after a quiet build), some of Bitfenix's cases are pretty good as well.
Ultimately, pick the one that supports the features you want and like the way it looks. In terms of cooling performance, any decent case will come with adequate fans and will be designed well enough that there should be no real difference.