Do you have any specific desires on cooling? The page you linked us showed a lot of towers with liquid cooling. Liquid cooling can be very effective, but only if it is a good kit. Since good kits run at about $300-400, I'd say it is safe to assume that the kits listed on your link are not of the best quality. A poor liquid cooling system may perform like top of the line air cooling. With that said, I'd like to suggest this build:
It's about $100 over your budget, but fits all your requirements, and leaves room for future games. However, on the accessories page, you'd still need to pick a wireless card. Under external wireless network card, you can take your pick. The Linksys one is by far the best. I would take Zonet if you're not taking the Linksys.
Here are a few tweaks I would do to the build:
-Under core components: processor: Instead of the first option (Intel Core i7-875k), I would pick the third option (Intel Core i7-860).
-Since you won't really need 4GB of RAM, under core components: memory: I would pick the 4GB option (second), and underneath it get the corsair dominator.
-Lastly, if you don't want to spend too much of the video card, I would get the ATI Radeon HD 5850 (the choice right above the one already picked).
With these tweaks, you'll probably save around $200-300 depending on which wireless card you choose. I highly recommend you take my first suggestion on my tweak list. The second and third would just be to save you money.
edit: You can also pick new cases if you don't like the one they show. Keep in mind that I used all of your budget, but if you feel like you need to spend less, just less us know and we'll tweak it some more.