I think your firebox is already bigger in proportion to the system size than the standard, and increasing the volume as much as that arch indicates may give problems as mentioned.
"The batch box inside is 24" deep 32" across and roughly 32" deep."
Extrapolating from the
chart, a 12" batch firebox should be about 18" wide x 26" high x 36" long.
Given the long pieces of wood you show filling the current box, I think a door on the end would work better as you could put long pieces in without a huge door. I realize cutting out the reinforced block wall would be a job, but I think the results would be worth it.
One thing that puzzles me is the port in the middle of the long side - how does the wood stay clear enough of that for proper airflow and the venturi effect? Or does it?
As you are planning to build more of these, I think it would be a really good idea to make the next one with standard proportions and the port on the end, so that you can test the operation of the stock model. I would also make the bell with some masonry, like for the walls, with a steel plate top for ease of roofing. The bell does not benefit from maximum volume but maximum surface area, so if you made it long and narrow, say 2' x 4' x 7' high, you would get the same heat transfer with less space taken up on the floor.