MSINFO32 shows video errors along with a few hibernation errors. In the old days errors with hibernation were a sure sign of video issues. It's not so certain with Vista/7, but it's still a strong possibility.
I would uninstall the current video drivers
and install these: ATI Catalyst
I'd ensure that the laptop was staying cool and is used on a hard surface - maybe even using a cooling pad.
I'd ensure that the fan is blowing air out of the case - and I'd blow out all vents with canned air (DON'T
use a vacuum or a compressor as they can cause damage).
If that doesn't stop it, then try replacing the chipset and the storage drivers (they are also involved in the hibernation process). BSOD BUGCHECK SUMMARY
Loading Dump File [C:\Users\FUBAR\_jcgriff2_\dbug\__Kernel__\073111-23836-01.dmp]
Built by: 7601.17592.amd64fre.win7sp1_gdr.110408-1631
Debug session time: Sun Jul 31 16:18:23.633 2011 (UTC - 4:00)
System Uptime: 0 days 0:23:21.538
Probably caused by : dxgkrnl.sys ( dxgkrnl!VIDPN_MGR::AddFunctionalPathToVidPnTopology+4e4 )
Bugcheck code 0000003B
Arguments 00000000`c0000005 fffff880`046f5ae0 fffff880`02b12640 00000000`00000000