Looking at your diagram, 7kW solar with 1 or 2 28kWh batteries, that works well. And if you scale up those panels x 4 but also scale up the batteries x 4 you maintain a good ratio.
I looked up that REC BMS and from what I can tell it's 120 amp maximum for charging but 250A discharging? I wonder if it's adjustable to allow up to 250A coming in? Either way, if you used let's say a 200A BMS, that is 11kW that you could take in, per battery. 4 batteries capable of 44kW. And if your cells were good quality and all from the same batch, they would share the current very well and you could go really big on the panels.