You have plenty of inverter capacity, solar capacity and battery capacity to run a non inverter style fridge/freezer, so you aren't restricted as far as what fridge/freezer you buy.
If you want to run the fridge/freezer from the big inverter you have, then the inverter style isn't a "must have" but if you want to run the fridge/freezer from a small separate inverter then you will need the inverter style fridge.
T1 Terry