What kind of power is in the room? If all you have is 115V, I think the biggest protable AC unit using 115v is 15,000 BTU's. If you have 220v, you could go bigger.
Also, do you want the unit to heat and cool? if your heating BTU requirement isn't very high, you can save money on a electric heat/AC instead of a heat pump style.
Typically, 1 ton of AC will take care of 400 square feet. Rule of thumb, of course. So the space you want to cool ( 20x20=400) should be doable wih a 1 ton (12,000 BTUH) unit. But I'd bump it up to a 15,000 - 16,000 BTUH to handle the hot, humid summer heat of your area.