It looks like you're using the onboard network controller. The reason I mention this is because every single crash points blame on your network controller drivers. I notice your drivers for it are pretty outdated (July 2010) but it did seem like you tried to update em (older crashdumps show it being Nov 2009). Are there no drivers newer than this?
I've done some googling, and found a few others that had the exact same scenario - same crashdumps and everything. They found the network adapter itself was faulty, and by replacing it it turned out good. The problem you have is that if this is onboard, then you will have to end up replacing the whole board. It may be possible to purchase a cheap network card and use that to resolve the issue, but being onboard and having problems can be signs of a motherboard that generally has suffered in the manufacturing process. This could result in other problems occurring in the future.
Given the very consistent behavior, I personally don't think it's hardware. However, it's rather certain the drivers for that network controller aren't up to snuff, and if updating it any further isn't going to resolve things, then it's faulty hardware of a long-standing bug in the drivers, which will require you to get a replacement for either the mobo or a purchase a separate network card.
There is the small chance something else is interfering with the network drivers. You can determine by running Driver Verifier
and let it crash a few more times. If it still blames your card's drivers, then my original diagnosis still stands.