^ i think the badass is based on a ts (or maybe more like an sd1, but similar, anyway).
Now- that doesn't matter if it sounds different enough (I haven't tried it), and also I dare say you could design a completely different OD circuit which sounded pretty similar to a TS (big mid hump), so how it sounds compared to what you want it for is more important than the circuit design and origin. But I just thought it was worth pointing out when you said you wanted a "non-TS style overdrive".
Nice scores Toe-Knee :)