When I started looking into fuzz land, i found that Tall Font Green Russian clones were the flavor for me. I ended up with a Wren and Cuff Tall Font Russian, and I paid the extra $20 for a clean blend. Based on the bands you listed, I'd say the Tall Font Russian and similar clones are going to be a good sonic fit. I found the Muff/Pickle/Pi genre to be a bit too harsh. There's a vibe about the Russian that is softer and more lush, but it still has teeth. The Wren and Cuff isn't super high gain, and at lower gain settings it is quite dynamic and articulate.
I run a Spector Forte4 SS and it gets along pretty well with the pedal. The clean blend has taken a little toying with to get set right, but I'm a tinkerer. I wouldn't say it is a must have feature, but it is nice. I do find I like running the bass in passive mode for an older school doom sound. i also very much like it with my passive J and P basses.
I also looked at the Abominable Hail Satan Deluxe, which has two fuzz type options in one box (including the Russian), and a mid control, and a clean blend.
I was considering the new Aguilar Fuzzistor, but it is very new and not much info is out on them. Early adopters seem to be fans.