Your motherboard will support ram speeds up to 4133. The 2666 number is what the motherboard will boot at.
Once in the bios, you use the XMP settings to overclock your ram to the maximum speed spec.
The intel ram controller is excellent, it anticipates and feeds the cpu from any speed ram well.
As a practical matter there is not much benefit to ram faster than 3200-3600.
Faster ram is accompanied by higher cas numbers, negating much of the speed difference.
Your case can support an air cooler up to 170mm.
If you install a noctua NH-D15s, you will have no ram clearance issues.
In addition, it will be cheaper than a H100I, cool just as well, be quieter, more reliable, keep your parts cleaner, and will not leak.