Hi,
Can you try and boot into safe mode to get the memory dump from the BSOD?
To enable your Surface Pro 3 to boot into safe mode is pretty convoluted but my understanding is you need to power on and then whilst it's booting up power off the tablet ~6 times at which point you should get the the recovery screen.
At this point please follow the steps in this guide:
http://www.lovemysurface.net/wp-cont...nfographic.png
Once you're in safe mode please copy the memory dump file (named MEMORY.DMP) onto a USB stick or similar and upload to a file share site.
Thanks,
James