Thing is: no-one here seems to have the undisputed answer to your question. It would be an expensive option to have someone make one (BSIAB that is) for you to find that it's not the ticket with your particular rig.
True, but people seem willing to pay the price for a pedal, since it's very modular, easily bought and sold...less risky, less dough, and less heavy than a new amp head if your on a tone quest.
The BSIAB clips I've heard don't clean up in the same way and also, they seem quite a bit noisier. If you've got the dosh to experiment with the BSIAB, feel free but I reckon you'll be disappointed.
They are. Stock, it's got too much gain and potentially noisy. And it cleans up poorly. Even Ed seems to advise not using J201s these days. With Mpf102s/2n5459s at the front pair an more so in all the mu-amp positions, its far more dynamic, for starters, as a drop in replacement, and still has plenty of gain on tap even for classic VH rythms.
Halen, since you are talking purchasing rather than building, also check out the Catalinbread Dirty Little Secret sound clips. It's getting some great reviews these days for a rock sound...it's two gain stages rather than three, less gain, but still mu-amps.
In the end, I think the ticket for you is going to be jfet mu-amps. Which variation on that you go with...there are abundances. But even tonight I was comparing CMOS inverter type ODs (Red Llama, 4007s-based, etc) and also op amp clippers. I forgot just how much more real mu-amp types sound, as a starting point. BSIAB is just one of many pedal (these days) that use mu-amps for distortion, and speaking general, if you want a pedal, that's what I'd advise is a good way to narrow it down, especially assuming you've tried the endless garden variety of op amp diode clipping distortion pedals....
Not that there aren't plenty of good opamp clippers...Barber stuff comes to mind if you want affordable, quality, heavy variations on that theme.