I finally had time to run the calculations.
Minimal load per day: 2,443 watts
Minimal solar panels necessary: 600 watts
Average Load: 206 watts
Inverter needed: 500 watt (to save power), 1,000w depending on fridge surge.
Backup time for 2 realized days on backup: 64 run hours or 6,515 watts. (650ah)
Backup time for 1 realized day on backup: 40 run hours or 4,072 watts. (400ah)
Battery 2 day backup: 650ah.
Battery 1 day backup: 400ah.
Battery 0 day backup: 150ah.
I used LiFePo4 as the battery beause it does not require full charges, offers the longest life and is the least damanged for going below 30%. These calcuations are with the battery going down to 20% for each cycle.
In this configuration, the sun goes down today (Tuesday) and you will have remaining backup power until Friday Morning. (2 full days without Solar Energy). I am assuming you are getting a yearly average of 5.5 hours of sun per day. You can search on google for your location and get your average sun hours. I suggested a 500w inverter because your max load is just over 200 watts and a 2000w inverter, even with low power mode will draw 1 to 2 amps under no load so that also has to be added in. (24 - 48 amp hours if not used and has to be added to the total load). I included 156 watt hours for the inverter.
assuming 5.5 hours, using a MPPT charge controller, you should yield 3.3 kw hours with just under that daily load. I would also consider the minimal or average days of sunlight. I get anywhere beween 4 and 10 charge hours and to cut it this close, you will need to know your average and how many days in a stretch you get much less than normal. For those days, a backup to the backup might be necessary.
There are still too many unknowns for a definate answer but this is a good start.
Questions?