Just get rid of it all...
Of course, this is a bit extreme... but...
Honestly, isn't that what it's all about?
1. Toss chip into milling vise. That's right, set it right there in the vise. Turn on coolant.
2. Machine through groove into IHS. Remove in interior portion of the IHS. Leave the outer ring. Save interior ring for proof of what it is.
3. Machine periphery down to make good "boundary prevention of tip of cooler." This will get lapped down with the silicon. Clean the whole thing off with brake cleaner or something similar.
4. Hone the silicon (there's a HUGE blanket of non-active silicon on the chip be sensible and it won't hurt anything). I've used water or WD-40 as the cutting fluid. You can get a granite tile from Lowes as your surface plate
5. Carefully protect any exposed transistors with dielectric something or another.
6. Mix up your own thermal suspension (do some research and you'll find stuff better than ceramic, or silver).
7. Put the stuff together nice and square with a fair amount of pressure
8. Achieve better results (assuming you aren't near a cold bug temp for that particular die)
People forget that there's a TON of links in the heat conductivity chain between the die and the top of the IHS. I know for a fact that EVERY CPU has a cold bug. Every single one. It's just some of them never experience them as they are hiding under a blanket of silicon, indium, IHS, THermal Paste, Pot/Fan/Chiller/etc.
Don't be a baby, start taking off the blankets. ;)
You only stand the chance of killing the chip, destroying resale, etc.
But, the chance for increased results is better. Not to mention the fact that naked silicon is dead sexy.
I dunno how many naked chips we've lapped without issues. But you can't expect to treat them the same way by reefing down with cooler pressure!!!