I have a Meanwell 1500W Inverter with two 12V AGM Batteries (overkill) for my Memphis.
Lost power 6 times in one day when living in Texas, and of course I was trying to smoke something, so I said no more.
The Inverter has a plug to hook up to solar. I have not done that.
If you do this, I'd recommend higher voltage batteries and inverter, 24V or 48V.
Thinking about this more, you could just take a small inverter (big enough for the the lights) and a marine battery and be done.
It won't get that much use and LED's are low current use, so you could just charge the battery once or twice a year and skip solar.