combining a humidifier with refrigeration cooling, what do you think?
One does not simply ignore thermodynamics ;)

As this vapor moves to the AC, you need very little energy ( dew point ) to turn it back to water.

Latent heat of evaporation works both ways. You need to provide 683 Wh (Watt*hours) of energy to turn 1 kg of water into water vapour... and if you have one kg of water vapour, you need to suck the same amount of energy out of it to turn it back into liquid water. You can view condensation as &quot;pumping heat out of water vapor&quot;, or &quot;whater vapor heats whatever it condenses on&quot; but the way to visualize it does not change the physical phenomenon, which involves an amount of energy (heat) corresponding to the latent heat of evaporation.
If you use a mister to evaporate water, it will take the energy from the room, but it will return this energy to the AC unit as the AC unit condenses it back to liquid. From the point of view of the AC unit the only difference would be, maybe, a little bit better heat transfer on the evaporator fins.
So it shouldn't do anything to the electricity bill, but it will make the room moister and less comfortable.