Both Amazon and Walmart have the "same" 2000W dual fuel inverter generator for about $445. You can use your BBQ propane tank instead of gasoline as a fuel source. Propane is easier to store and less maintenance when compared to gasoline.
Yes, this should power most modern refrigerator and more. Yes this is inverter-based unit so it can throttle down when the load is not high and be less loud. No, don’t plug this into your house and back feed it and potentially kill someone. Don’t even think about powering your 3 to 5 tons air conditioning unit. This is not what this unit is for. This is one of the lightest (~40lb dry weight) and quieter (53db) generator available.