Walt Er,
Full sun with MPPT will give you around 193watts / 14volts = 13.7 amps Not as you calculated. (assuming everything works right, stated right etc.) Several times improvement over direct connection to battery, well worth doing. Else can the panel be rewired for 12v output (or cut in half) would help, still not achieving MPPT potential .
Adding a tracker can be very beneficial, several nice designs out there DIY not costly.
!!!Important discussion on Large batteries!!!!
Solar power is expensive so are LARGE batteries.
Lead Acid batteries are 91% efficient charging when state of charge (SOC) is below 80%.
SOC Above 80% efficiency drops to zero as 100% SOC is reached. Battery is fully charged.
By 90% SOC charge efficiency maybe less than 50%.
By 95% SOC charge efficiency maybe less than 25%.
If you expect to get 5 days only discharging 20%, then your working in the 90% SOC most of the time.
Several factors affect charging efficiency, SOC, battery temperature!, Battery voltage and charger.
The above numbers can be improved... another discussion. (not by a huge amount)
Lead acid batteries are made to be used, using only the upper few percent the batteries may last for many many years, you also spent a LOT of money for them. To keep the large battery charged you will need a solar panel 2-4x larger! And the battery is 4-5x larger than needed.
Over all not a good deal to over size the battery.
Charging a Lead acid battery fully is also stressful, getting above 95% requires a finishing charge raising the temperature stressing the battery!
If you NEED the battery to last forever because you believe the world is going to end (or some other like reason) they by all means over size everything with the understanding in cost today. (Storing a dry battery can last many years... (my choice)).
Reducing the battery so by the 5th day ends SOC=20%, will stress the battery, if occurs frequently like a couple dozen times a year consider using a larger battery. If not then I would not size it any bigger.
Just a thought, by starting out with the smaller battery, save the money you would have spent, you have enough to buy 4 more sets! by the time all are warren out, I bet it will be longer than the time the over sized battery set would have lasted. And you saved 2-4x on the solar panels or generator run time.
Many people with over sized batteries must run a generator frequently to keep it charged, solar panel array is not large enough to keep their loads and battery fully charged. They do not understand why this is happening. Now You know.
Hope this helped!
Have fun,
Scott.