Lithium or apparently highest power deep cycle?

The amount of capacity would be dependent on room size, insulation, temperature, setpoint humidity and ambient temperatures. Currently I run two 9000 BTU units, one from 6 pm to 9 pm in a 48 square meter space with a 30°C setpoint, R12 maylar coated fiberglass above the ceiling, lightweight white block walls with minimal direct sun exposure and ceramic paint. That uses around 1.6 Kwh at this time of year 26-34 °C outdoor significantly more during the April May hot season, it is a Samsung 18.36 SEER. 

The other runs from 9 pm to 5 am, setpoint 27°C in a 12 square meter room everything else the same except outdoor temperature drop. That uses ~ 0.7 Kwh but is a much more efficient Diakin 26 SEER mostly running at 160W after the initial cool  down, often cycling  the compressor after 11 pm. 

Realistically it depends on all factors,  the most important being insulation, and if the walls are in direct sunlight, the efficiency of the unit itself and of course your personal comfort temperature. Previously I ran both on the LFP bank during the hottest period, including the refrigerator they took about 5-6 Kwh or 190-230 Ah @ 26V, now I program an inverter block and transfer to my lead acid bank at midnight to spread the load to an otherwise under utilized bank.

So it's really difficult to guestimate but somewhere in the neighborhood of 300Ah at 24V nominal for lead acid, should cover a couple of hours with a little to spare and keep above 50% DOD. The most important thing is to remove the moisture, 30° at low humidity is vastly more comfortable than 90% humidity, as you may well know.