Mason, you mentioning in the first sentence of your post that there is a coal fireplace in virtually every room. Just a thought: could there be a fireplace in virtually every room minus one?
What you want is the idea of an open fireplace burning wood as fuel, looking like an old-fashioned coal burning device but with a lot of modern technology behind it. Unfortunally, that technology do start at the very front of a well-built Batchrocket, certainly not hidden behind a coal-heritage fireplace. Otherwise, it wouldn't be built to specifications and won't do what the technology suggests.
Said all that, here are the questions.
Are you talking about an open fireplace, or what?
In case there is a door, what size is it?
In case of no door, what's the size of the front opening?
What's the cross section size of the chimney and running to what height?
Personally, I did an open batchrocket in France, some years ago. It roared like the very devil and did warm a generously sized bell but its efficiency felt something... to desire for.
That brings me to a possible solution: a Double Shoebox Rocket #3. Most of the time called the Désirée, meaning the long awaited for. This is the shortest core in depth, burns upwards but... it's the hardest and most complicated combustion core to build of the four main batchrocket variants.
When done well, it would burn beautifully, but it requires a complicated door assembly. Never tested as an open fireplace, by the way.
Have a look at
https://batchrocket.eu/ontwerpen#DSR. It's in Dutch, but Google Translate is very good in converting the text into readable English.
The whole of development of this core is published on an English language forum, namely
Donkey's rocket mass heater forum. Have a read, and please consider all possibilities. If a properly built batchrocket can't be inplemented and you still want one, demolishing the coal hearth is the only option that's open.