Since this doesn't have the "Of clear terrain" wording that Barrier does, I can smoke cloud on any kind of terrain that I can draw LOF to, right?

so I can put it on
Special
Clear
Water
Hindering
Blocking
Web
[insert other terrain type]

Right? (blocking is obviously tricky, since I would need improved targeting:ignores blocking in order to see it, but if I can...)

This is correct, though as stated without some kind of improved targeting, blocking can't be occupied.

Yes, you can place hindering terrain markers from Smoke Cloud on all of the above, except blocking. Golden Rule #3, the Rule of Occupancy, prevents you from placing terrain markers on blocking terrain (debris markers are the exception to this, but hindering/smoke markers are not debris).

Water and Hindering are both fine, and Special will be as well unless the specific type of sepcial terrain prohibits it. the rule of occupancy prohibits pretty much anything from occupying a square of blocking terrain, so no smoke there.

Yes. The hindering terrain markers from smoke cloud can be placed on any terrain except for blocking terrain.

And note that only one of the squares needs to be within LoF.

Thanks for catching this. I was going to add it but you got there first! Rep to you!