SmartThings controlled A/C in-wall unit

The receptacles that my AC units plug into are NEMA 6-15 15Amp and I’m unable to find any Z-Wave device compatible with these plugs (see attached pic).

Does anyone have any suggestions on how to integrate the A/C units with SmartThings? I was thinking that a relay could handle this, but with my limited electrical expertise I don’t want to make a catastrophic mistake!

Nothing that I know of. The highest I’ve seen is a 240V that is fairly large and needs to be wired in. This high voltage/amperage stuff is dangerous so be careful!