Honestly, I am a bit more concerned about the installation than about the stove itself. Per above, the stove has a close clearance installation done by an authorized BK dealer, with a factory installed rear heat shield. When we run on 3 for several hours, the wall behind and the floor in front of the professionally fabricated and installed hearth pad gets rather hot to the touch. I have an IR thermometer and I use it sometimes to check the temp of the drywall and the hard wood floor around the stove- but I don't know at what temp I should become alarmed.
The installation is to BK specs and to code. I'm not sure why I'm a little apprehensive about it. I've thought about adding some sort of asbestos wall protection behind the stove but that would reduce the 6" clearance we have. The stove pipe has two 45' bends near the ceiling to avoid a ceiling joist/roof truss, Moving the stove out further from the wall to accommodate wall protection would be difficult- we'd have to move the stove out further into the room than I'd prefer to accommodate that joist/truss.
Also we could add convection fans to the stove to dissipate some of the heat behind the stove.
I just tried something else- I moved the box fan from the hallway to the floor beside the stove, blowing toward the side of the stove and toward the gap between the back of the stove and the wall. The wall behind the stove and the floor in front of the hearth pad cooled to the touch significantly and quickly, and darned if it didn't seem to help move the heat around the house better than positioning the fan in the hallway. We had to turn the stove down!
So, I guess I fell backwards into a solution that addresses heat distribution, heat build up around the stove, and how long we have to run the stove on a higher setting.