The backflash fireball is the big deal-breaker for me on these ideas.
I have similar concerns about fitting outside air to a J-tube - if you put it too low it's a leaky siphon, if you make it too tight it heats up and makes a taller feed chimney (siphon with the legs too equal, doesn't draw strongly enough to eliminate smoke back up the feed), if you make it big and voluminous above the feed, it's a smoke collection chamber with fireball potential.
That's the big difference between anything located above the feed, vs. a horizontal thing located entirely below a certain height - say, 1/3 to 1/2 the heat riser height. I still have concerns about smoke drooling out the upper part of a batch box when the door is opened; there may be some tweaking of the door size itself to give good access but still limit the size so that there is almost enough draw to keep the air flowing in, not swirling around.
One reason the original designs don't use a big showy glass door is simply the price tag on doors. 2 bricks or a reclaimed metal can are a lot easier on the budget than a fire door complete with glass window and hinged frame to mount into masonry.
As far as air feed: it doesn't have to be 7.5x7.5 throughout the burn. Peter van den Berg has tested his numbers for the batch box; the air feed for a certain internal diameter (ID) heat riser is the same whether you load the box half-full or up to maximum (2" from the top, front, & back). Here's his dimensional charts:
http://donkey32.proboards.com/thread/734/peterberg-batch-box-dimensions
The batch box is probably the cleanest burning option that's compatible with what you have in mind. It might also be worth looking into contraflow stove designs from Sweden, Finland, Russia, or other sources; they are an all-masonry heater using the same up-down flow as a rocket, but without the J-type feed. If the missus also has aesthetic problems with the steel drum, there's ways to decorate it
https://permies.com/t/12578/rocket-stoves/Oil-Drum-Living-Room-design, or it might be worth doing a catalog search on classic masonry heater finishes and see if something sparks her interest. Then talk budget after that
-Erica