I don't know what the stock cooling plate is like, I'm afraid. If you can attach it with pins, that would be easiest, and would probably work fine. But if not, you need something to attach it with. I suggested thermal adhesive, because once you stick it on, it definitely won't fall off later on. But like I said, it's permanent, so make sure.
You could try something like
THESE copper heatsinks, but I'm pretty sure that you would have to trim them shorter so they would fit. I don't know if they would work any better, but they come with their own thermal tape.
MX-2 is fine for anywhere else on the card.