I’d suggest trying a Southampton Fifth Gear V2.
Their description of its sound accurately describes what I was hearing with mine:
”The Fifth Gear is our take on a transistor OD which goes from barely-there overdrive to a distortion that toes the line of fuzz. The Fifth Gear can stand out on it's own, but also excels when pushing other pedals, or your amp, that extra bit further.”
This pedal won’t give you a buzzsaw or zipper effect. But it will provide a nice degree of sonic complexity along with a touch of grit and edge. Works equally well with guitar or bass, which is a nice feature if you double on both instruments