A dedicated electric compressor is a whole different game compared to running a normal compreesor with a 12 volt motor. We had electric trucks at work, 5 ton imports converted to electric here in the states. They had a what I would call a refrigerator style compressor, not sure the voltage, but the trucks had 48, 12 volt lithium batteries, 24 on each side to keep them balanced. The A/C was marginal at best, they didn't run them unless it got really hot due to mileage range. The A/C would eat up a lot of miles worth of charge.
If you really want to stay cool, mount a Thermo-King unit in the bed with some duct work to the cab, it would likely cool you with the windows down!