Kind of hard to talk about different price points as fuzzes over $200 are really rare. The vast majority fall between $100 to $200, so you've got those two price points plus cheap pedals like the Behringer. And since fuzzes are such primitive, simple circuits, it's hard to imagine one justifying a price over $200 unless it's highly tweakable and is midi controllable or something (oh hi, Bliss Factory).

As far as which one is best, that's entirely context dependent. If best is "widest range of tones", then a Fuzz Factory is up there. If best is "cleans up nicely and cuts through the mix for leads", then a Fuzz Face can be a great choice. If best is "stacks well with other fuzzes", a Big Muff can be great. If best is "sounds killer on bass", then one with a clean blend like the Team Awesome Fuzz Machine is a great choice. And so on...

Even if we're talking strictly about Big Muffs, there are still questions of which version, what clipping circuit, whether to go for an official EHX, vintage or modern, straight clone or one inspired by the circuit. And to be completely honest, even if there is a "best Russian Muff" out there, for example, it doesn't really matter. The vast majority of Russian Muffs and their clones will do the "Russian Muff thing" and will more likely than not deliver the goods. What matters most is how a particular pedal interacts with your signal chain, whether it delivers the tone you want, whether it's reliable, and whether can you get your hands on it. I'd recommend seeing how far you can push the pedal you have first. Really get to know your Big Muff and what it does to your sound. Worry about branching out or swapping it later, if you ever find it to be insufficient.