One Good Shot ( 

Or Devil's Canyon (Chapter II), if you'd prefer.
This only 'sort of' counts as a mission: there's no stat screen at the end and you're instead just automatically booted to the next proper level. Still, it's a quick enough clear, so I thought I'd give it a quick go.
We can still get a glimpse at our time by pausing during the final cutscene. The cheekiest moment of the run probably comes at the end, where we just blatantly run past a guard only to dive into a bush. If it works!