You don't need any more than the Clean command to clear the partition table and boot code. Boot the Win7 disk, press Shift + F10 at first screen or enter
System Recovery Options to open a Command Prompt, then type the exact commands given in
Diskpart Clean Command.
Then close the Command Box, click Install Now, at drive selection screen use the Drive Options to create and format a New partition for install, as shown in Steps 7 and 8 in
Clean Install Windows 7
Be sure to use only the methods and tools in
Clean Reinstall - Factory OEM Windows 7 so you know you've done a perfect baseline install. More importantly you want this to be a diagnostic install so that you can trace at what point the Shutdown hang begins if it returns.
Put your wireless driver in the backup so that if it isn't provided you can install it to get online, then enable
Automatically deliver drivers via Windows Update (Step 3), open Windows Update from All Programs menu, Check for Updates, install all Important and Optional Windows Updates except Bingware. After requested reboots, go back to Windows Update to Check for Updates, install all Important and Optional updates until there are no more offered.
Next install your programs with reboots in between each so you can check for the behavior.
If at any point the Shutdown hang returns then
System Restore to before it began to see if this solves it. If so then you will know that the last change made caused it.
Otherwise it might be hardware issue but we can deal with that if its present after reinstall. Hopefully not reinstalling all of the bloatware and Toshiba drivers will sort it out.
If you want to install TeamViewer and message back to me the ID and pw I will connect to set it up for you. Make a list of the programs you want.