That brings bac a lot of memories,,
I was heating about half of the house that you are.
Our stove was very similar, 9" brick, standing on end,, I think our bricks were only 1" or 1.25" thick,, maybe 4" wide.
Even at only 1" thick, the heat never came through the brick enough to discolor the stove paint.
Having only 1" thick brick increased the coal capacity dramatically.
Due to the smaller house, and larger coal volume of coal, that may be why I could heat for 6 or 7 days per load?
Above the brick, clearly, the paint was destroyed to a gray char. We put stove black on it a couple times,,
We had a bimetal automatic air control to the lower area.
Any secondary air was manual,, but, never used secondary air with coal.
I would fill the stove heaped at the top of the fire brick, with just a little kindling at the front.
The fire would start,,
we never even opened the door, until the coal was 100% burned.
If you opened the door, or touched the pile with any sort of poker, the fire would instantly go out.
NO TOUCHING,,, NONE!!
The coal would hold itself up, allowing air to pass. if you touched it, the coal would settle, blocking the air flow.
Our stove came with both the wood and coal grates.
The wood grate was a sheet of 1/8" steel, with a big hole in the center, and a cover for the hole.
If I remember correctly, that steel grate allowed air from the lower area directly to the top. maybe near the door.
That allowed the bimetal damper to feed air to the wood fire, that preferred upper level air.
The coal grate was cast iron,, with a round separate center casting that could rotate.
If you tried to "shake" the coal with that round center casting,, INSTANT SNUFF-OUT!!
I had no idea why the cast iron grate was two-piece, unless that helped with bituminous coal.
I added a "LOWER AREA" with pullout tray to a Papa-Bear type stove that I have in a shop, right now.
The lower area has a "primary air inlet",, and I made a fake cast iron looking grate out of CNC cut 3/8" thick steel.
I burn wood in it, when I bottom feed air, the fire burns so hot, the top of the stove easily runs up to glowing red temps.
The stove is in a giant uninsulated shop,, I run it more for fun, than comfort.
I do get a little heat, but, if I am lucky, I can raise the temp 20 or 30 degrees,,
It is nice on a mild day,,.