You'd need a BIG inverter, and a heavy-duty battery and alternator to support it! Why not just install a second evaporator on the existing engine-driven AC system? I'm doing that on a motorhome I'm restoring, using a factory rear AC evaporator out of a conversion van somebody gave me to get it out of their back yard. It's a little work, but all the parts are useable, with a little tinkering.
Jerry