Nothing's actually spec'd for chip height, but the chip area is based on the Freezer7's footprint. I have standard 115x mounting holes and I have holes to mount the Freezer7 directly without requiring its plastic bracket. Any standard Intel cooler will probably have to be modified for height, which probably just means cutting some plastic or yanking out those clips and using screws.

Buying the cooler has always been only an option. "you can even leave the cooler off so people can use their own" is the default.