I recommend that you save your Bonamassa PNPs until you have more experience playing thru fuzzes and know what you like and don't like. Then you can use them when you actually have a need for a PNP fuzz-face circuit.
I can highly recommend the Skreddy trio of Lunar Module, Screw Driver and Hybrid Fuzz Driver. All can be built on the Aldrin board. The SD & HFD require one Ge NPN. Skreddy uses AC127, but others will work. As Phi1 stated, these can be set for very light overdrive.
My personal favorite is the Pink Purple Fuzz (Fuschia). Like the LM/SD/HFD, it has a huge adjustment range. The Dung Beetle looks like a good circuit too, I just don't have any experience with it (yet).
As for BMP's, there are muffs and there are muffs. Some are tuned for doom and some are tuned for violin tones. I have a Hoof, Swollen Pickle and one of my own design. They all sound very different. The SP lets a lot of bass thru and I personally don't like it. The Musket might be a good start if you want to try out a BMP because you can vary the bass roll-off. There is no light overdrive setting on a BMP.
Check out the Executive or Teddy Rupture fuzzes, they are simple and make very nice fuzz tones. I wrote about these in the Modifications forum.
And then there are the opamp-based fuzzes...
Have you tried listening to the many demos on YouTube?