UPDATE: September 21, 2016 Well, I've come down with a bit of a cold today - could feel it creeping up my throat since Monday.
It sucks, but it also postponed my Angiogram which was scheduled for tomorrow morning.
The good news is that now I had some time to work on the computer!

This is the original Q6600 CPU that got pulled out of my "working" computer and swapped with another Q6600, proving (hopefully) that it is the Motherboard at fault.

And here is the nice clean stock CPU Cooler mounted with my fancy new Retention Pins from China.
Here's a tip: If you are doing a Re & Re on your CPU Cooler, get yourself some new Retention Pins.
I have fought with used ones and ended up breaking half of them because the plastic is brittle from the constant heat they are exposed to.
Those of you who are following this will know I ordered three sets of these pins from China when I couldn't find any at my local computer stores.
For less than $3.00 I got 3 sets of pins, so if I lose or break any, I'll still have plenty left to finish the install. I may even order a couple more sets after this is done just to have some spares in my parts box. There should be a link to the source somewhere in the previous postings - if you can't find it, ask and I'll re-post it.
So, tonight I cleaned the gunk off of the CPU and mounted it on the MB. Slapped some Thermal Compound on it and seated the Cooler.
So much easier when you can lay the whole thing flat on the coffee table and don't have to fight all the PSU power cables!
The new Retention Pins were great! Snapped right in perfectly the first time without a hitch.
I'm debating about buying a new Hard Drive - I've seen some good deals on Craigslist for some 1TB WD Black drives for $30 - $40, and some other cheaper ones.
I'll think about that and see about contacting these people to see what kind of deal I can work out. I really want to keep this budget down so I can put some money toward a new LGA1151 system.
Just really need something that won't crash every 15 minutes...