We have friends with a Samsung, 4 T105's and a modified sine wave inverter. They have no problem with at least a day of no gen use let alone overnight. They have a single 80 watt older solar panel.
We have a 22 cubic foot whirlpool that we run on a sine wave inverter. We have 8 X T105's and 800 watts of solar. We run indefinetly as if we were plugged in to shore power. Having said that we often run the genny at meal times if we have extensive microwave, toaster or other heat generating appliance usage. You will NEVER regret switching to a residential.