Digitech Grunge or Boss Metal Core maybe?
Could you post an example of the tone you have in mind?
Some sort of Big Muff I would think.
Yeah, a Big Muff Nano Pi would be a cheap place to start.
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Some to consider:
Big Muff Pi - the distortion & bass can't be tamed enough for me.
Boss PW-2 - sounds like a Big Muff Pi, but it fixes my concerns with the EHx.
RAT - not enough treble, unless used with a separate EQ.
Boss MD-2 - The awesomest distortion I've ever used: light overdrive to Metal Zone territory, plus a bass knob to dial in the right amount of rumble.
Nano Bass Big Muff is another cool choice. No shortage of low end there and they're super affordable and everywhere. Works great for guitar.