Hello everyone - First post, Just thought I'd add my 2 cents being a retired electrician with an HVAC license.
First, an oversized AC will not do very well at dehumidifying as it will reach temperature setpoint and shut off before dropping humidity to an acceptable level. It will then short-cycle on temperature turning on/off too many times an hour to be efficient.
Even the smallest of window units (5000btu) will have this problem in a small room if trying to keep temps in the high 70's. My grow room is 10'x10' and cannot drop the humidity to 60% unless I also drop the temp to 68F, so I bought the smallest "real" dehumidifier I could find ($110) now I can keep perfect temp/humidity levels. Keep in mind that a dehumidifier will also raise the room temperature so I have to run them both to get the perfect balance.
Also, there is no appreciable power usage difference between 120v or 240v air conditioners as it is the total watts that count and not the voltage. The reason they go with 240v is because of outlet amperage and wire sizing, the typical 120 volt 15 amp outlets can only be loaded to 1500 watts which would be around a 12,000 btu A/C. Also, a small dehumidifier can use 1/3rd the power of a small room AC - 150 watts vs 500 watts.