Re: Pearly gates vs Dimarzio PAF
For OP's application, I'd recommend the Dimarzio 36th Anniversary PAF. For a self-styled PAF, its tone is oddly thick and mids-dense. It's a good sound, just to my ears not very PAF-like or vintage-sounding.
The neck 36th has that tone, and the bridge 36th is even more mids-dense.
SD has great PAF-style pickups, but they tend to be mids-scooped, not my first choice for mids-heavy applications like Sabbath.
PS. I would also recommend against the Pearly Gates for OP's application. I love the Pearly Gates, but it has a strong character, and it ain't Sabbath. It has a strong treble/high-mid spike and not much low end. It's very much Billy Gibbons, not Tony Iommi.