, I've highlighted the inductors green in this picture
After doing a bit of research I found the VRM's on the z370i to run quite cool, similar to the z270i, even under heavy overclocking load. There are thermal images from TweakTown
Some of the guys on the SFF.net forums are even running these boards without the VRM heatsinks on them (!) in order to fit larger fans and provide better CPU cooling. Overclocking obviously isn't their main concern, but it goes to show what the power delivery circuit on this board can do.Have a look at this post here
(click the spoiler in the post) - you can see thermal images of the z370i running at 100% load with the VRM heatsinks off. If you look closely during the thermal images, it shows the inductors (the row of purple blocks) are hovering around I'd say 30-32 degrees. The small increase in termperature is most likely due to the copper in the PCB acting as a giant heatsink, so naturally some of this heat is radiated through the inductors and other nearby components by the board.
I'm confident in saying that the inductors will not require active cooling of their own from what I have seen, and the monoblock is still a great buy even without this. The block still serves its purpose - it completely eliminates the need to actively cool the board (and looks wicked!). EK have confirmed they won't be making a block specific for the z370i any time soon.
edit: forgot to mention - the layout between the z270i and z370i is near identical, so this block should contact the VRMs no problems. My block is in transit (was sent today), happy to be the guinea pig and confirm the fit for you in a few days.
A picture of the z270i without the VRM heatsinks is here
. The VRM's are directly to the side of the inductors (the small black chips) labelled AC86N.
Cheers - Hope this helps!