Usually I run into sort of the opposite issue... I want heavy distortion so I can get nice crunchy interference patterns between the oscillators, almost a FM-like sound but without using FM... but I don't want it to actually clip.
Basically trying to do over-the-top dirty squelchy sounds like I'd get on a Microbrute or a MS-20, or like chords played with overdriven triangles on a Matriarch. When playing multiple notes, it has a Moire pattern-like effect which can dramatically change the overtones and even produce harmonically-related undertones. But I haven't quite worked out the right gain staging to get that effect. The result ends up clipping instead of having smoothed edges.
Can always distort it in post to get that effect, but I haven't found the right settings to get it quite right with only the onboard signal path.