Chris, why in the world do you need your AC when there is snow on the ground.
Seriously, my EF2400iS will start the AC, if I have everything else electric turned off except for the converter. As Filthy Beast noted, it may be best to charge your batteries for a short time before attempting the AC startup. I don't know what capacitor I have......it is the 1 that came with the AC unit.
Don't forget to turn the fridge to gas only before starting the AC. Once you plug in your power cord, the fridge will switch to 110 volt if the mode is in automatic....that is an extra draw you don't need.
Also, get the AC fan up and running before starting the compressor. I have taken all of these steps, and have not had a problem with running my AC on the Yami 2400.....even at 3500 ft. elevation.
Chap , DW Joy, and Fur Baby Sango
2006 Ford F150 Super Cab 4x4
2008 Surveyor 263