Let's chalk this one up as being semi-original.
I thought it would be fun to see what happened if I took the first mu-amp stage from the BSIAB and put it in front of the last two stages + tonestack of a Big Muff.
After a fair bit of tinkering, it actually does work and even sounds pretty good. It's heavier than a tubescreamer type, but not as heavy as a Muff or BSIAB. Lots of sustain, some nice harmonics, sounds articulate at max gain and full chording.
Clip is below.
Here's the verified schematic, now updated to version 0.4. I added a bypass cap on the last transistor for some additional output gain/volume and accentuated high-end sparkle. I also added a RF rejection cap at the input (marked "Cx"). This can be omitted if not needed.
All you Dungeons & Dragons nerds should recognize the name. But for those that don't, here's a fun blast-from-the-past scan right out of the old Monster Manual: