Thank you Jonathan. I did remove the Bluetooth, it was a small USB dongle. No joy.
On one of the BSOD that didn't generate a dump, I saw that it was tcpip.sys that was being blamed. I use an ethernet cable to my router. I was previously using a USB WiFi adapter, and just removed it a while back - just to try something.
The PSU is a Corsair 850W, about 18 months old. All seems nominal at this point. I also remove the power and SATA cables to my DVD drives, just in case. Literally, the only thing left from my previous build is the PSU. I'm almost tempted to change it.
Unfortunately, re-installing WXP is not an option at this point for me. I need to get this W7 to work. Please note that at some point in the past few weeks, I ended up formating my new hard drive and re-installing W7 - just in case. No joy.
I attached the latest 2 dumps logged earlier this evening.