Hi,
Monitor the voltage. I routinely run the air conditioner and fridge at the same time on a 15 amp circuit. So long as I am above 107 volts, all is well.
I would purchase an autoformer before getting a surge low voltage cut out device.
Another way to skin this cat is to use a hybrid load support inverter charger such as the ones by Victron or Magnum.
Regards, Don
My ride is a 28 foot Class C, 256 watts solar, 556 amp-hours of Telcom jars, 3000 watt Magnum hybrid inverter, Sola Basic Autoformer, Microair Easy Start.