Well my unit is an all in one. So it’s used everyday whether its the heater or AC. But of course the power consumption is the heater. And my fear is, I just bought (32) 3.2V x 320AH LIFEPO4 batteries so I was hoping I could make it work. But I can’t sell back to the utility where I’m at in Texas. But will a grid tie inverter help? How would I make the utility be the surge and the remainder run off the Solar system?I'd start by buying a clamp on ammeter that accumulates power and make sure you know what the requirement actually is. You'll need to spend a lot of money to implement what you're trying to do, figure out how much it will save you on your power bill and how long it will take to break even.
You could install a grid tie inverter and let the utility company start your A/C, then if your array is producing power it can run or supplement the A/C draw, or maybe you can sell the power back if the A/C is not on. Not sure where you live, but A/C is likely a seasonal thing, you're going to spend a lot of money trying to support a device that may not run all the time. When I looked at our power requirements the cost of batteries made it impractical to go that direction so I went grid tie.
The other possibility is if your utility offers hourly pricing, you could use your house as a thermal battery. Run your A/C all night when the power is really cheap and get the temp really low in the house, then turn off the A/C all day. That can work well if you have a newer house that's insulated and your family won't move out and leave you.