A fridge on propane pulls about 17AH per 24 hours.
Your daily AH use will be about 75AH for the intended day as described. No way will you be using 200AH.
The long thread on lithium (Battle Born) seems to have decided not to use so much of its capacity daily, but to do more like 20-80s (60AH from a 100) so you want two.
You could do it all with 200AH of AGMs as your bank and still keep them inside the rig. No gassing with them unless you way overcharge them and blow their vents (not very likely you would be that careless)
Why spend so much to get lithiums??? It won't make camping any better. You just want 200AH worth of battery bank.