Well, you'll need to mod. Period. But with the right case, not that much.
Antec SLK3700-AMB.
-Gromet-mounted HDs, enough space for foam mounting or stiff suspension.
-120mm rear fan mount. Cut the grill out. That's the extent of your modding. Nicely with a dremel it may take 20 min, including all stages of preperation and cleanup. If you can get a nibbler or tin snips started, mabe 3 minutes, but tougher work.
If you are willing to buy gromets for the HD, try the Evercase e4252. You can make shoulder screws with standoffs, just get the grommets at Ace or somewhere. it's one of the easiest case to make quiet. Mount the rear fan with something like the Antec dampener things--they're basically silicone rubber fan mounts with gromets. I've also heard of a few people using grommets on the arms, but it's more complex, and I still don't know how their results were compared to using the holes meant for grommets. if you use gromets, put the T-shaped plastic pieces in the arms, else they may make rattle noises as the HD seeks.
The Evercase is reasonable out of the box, and easy to add things to and mod. It is also on a small list of chassis recommended by Intel for the 3.2 and 3.4 Prescott CPUs. If this case has a decent exhaust fan, YOU CANNOT MESS UP THE COOLING. It has the perfect layout for good cooling, with a few touches to make it quiet, assumg it isn't right next to you (as in on the desk 3-5ft away). My father uses this case for all company computers, done so ever since I made my first PC with it. It just cools well, even with massive cable clutter.
Don't get the 4292, as it doesn't have as much space for incoming air. Black E4252.
The newer version has 120mm rear exhauist mount.
For either case:
-Thermalright heatsink and Panaflo L fans for exhaust and heatsink (low-speed NMB for 120mm exhaust if you can't find 120mm Panaflos, as they aren't as plentiful as the 80mm), on a non-PWM controller. Unless your mobo has the mounting holes, then a Zalman 7000 flower.
-Get a Seasonic or Zalman PSU.
-I don't know if the IGP can be cooled passively. However, if you get a card, it should be no problem. a ZM-80A or ZM-80C should cool anything out there that can compete w/ the IGP, and so passively.
However, the Zalman NB47j is a great one to try if you want to give NB cooling a try! I've used the NB32j, and it'a pain to install. I haven't used the NB47j, but they made the mouning arms like the ZM80C's, which are far easier to use.
If you use the Zalman CPU HS (requires mounting holes), I would be confident in NB47j, as it has air coming from the CPU.
Now, if your socket is oriented so that the level is on the top or bottom, and the raised side on the left or right, you can do this [edit: use the NB47j] with any heatsink.