That makes a lot of sense. I think you’re already going to want to get creative so I don’t think you should give up on your ideal workflow.
There are large brewers intended for coffee shops that might be able to do this. I don’t think that’s your ideal route.
A smart brewer could produce a similar profile. But even then that’s a large quantity and pricey brewer for what is essentially a simple process.
You could go even more manual. In a way I think wanting that volume helps. Something like the Clever Dripper, or as it’s used in this recipe the Switch, is mostly being used to hold the filter. You could just go bigger on that and brew with large format filters intended for commercial machines and one or two kitchen strainers. Because it’s immersion you don’t need to worry about channeling or brewer temperature, even pass through isn’t important; the coffee’s already made. Heat 3l water in a pot, add coffee per usual, stir, and then strain at the five minute mark into a large vessel, as one would stock.
Culinarily, coffee is soup.