New, self-built PC keeps getting BSOD at random intervals.

Go to computer properties, advanced Systen settings, at the bottom is startup and recovery, click on settings. It should look like this, including the dump location.

Attachment 228591

Try un-checking the "Automatically Restart" box in the Startup and Recovery window. Sometimes this will restart the computer before the mini dump is written.

From your System Event Logs.
Several of these, confirming a possible SSD issue.

Code:

Event[471]:
  Log Name: System
  Source: Disk
  Date: 2012-08-25T19:39:10.829
  Event ID: 11
  Task: N/A
  Level: Error
  Opcode: N/A
  Keyword: Classic
  User: N/A
  User Name: N/A
  Computer: Deadpool-PC
  Description: 
The driver detected a controller error on \Device\Harddisk1\DR1.

Windows memory Diagnostics is not very good, Use Memtest86+ to test your RAM.
RAM - Test with Memtest86+
Run the first test with all RAM cards installed.

Code:

Event[2276]:
  Log Name: System
  Source: Microsoft-Windows-MemoryDiagnostics-Results
  Date: 2012-08-26T00:37:08.786
  Event ID: 1101
  Task: N/A
  Level: Information
  Opcode: Info
  Keyword: N/A
  User: S-1-5-18
  User Name: NT AUTHORITY\SYSTEM
  Computer: Deadpool-PC
  Description: 
The Windows Memory Diagnostic tested the computer's memory and detected no errors

This usually indicates a CPU overheating.
Have you been checking your temperatures?
Use Real Temp , to check the CPU temps when at idle, under load and/or testing.
Let us know the minimum and maximum temps you get.

Code:

Event[163]:
  Log Name: Application
  Source: Microsoft-Windows-WMI
  Date: 2012-08-26T14:37:32.000
  Event ID: 10
  Task: N/A
  Level: Error
  Opcode: N/A
  Keyword: Classic
  User: N/A
  User Name: N/A
  Computer: Deadpool-PC
  Description: 
Event filter with query "SELECT * FROM __InstanceModificationEvent WITHIN 60 WHERE TargetInstance ISA "Win32_Processor" AND TargetInstance.LoadPercentage > 99" could not be reactivated in namespace "//./root/CIMV2" because of error 0x80041003. Events cannot be delivered through this filter until the problem is corrected.

Also see a lot of failed Windows updates.
Did you get them to install?

What PSU do you have?

Have a look in your BIOS hardware monitor and see what voltages are listed for:
+3.3V
+5
+12V
They should be within 5% of those numbers.
I doubt that the SSD has any damaging heat, they usually produce no heat at all. There is the possibility of a bad SSD too though not common.