With the need to be picture perfect in mind, two steps that you may already use, but might otherwise be worth saying, include,
Blow early and blow often. Trampled saw chips are harder to get out.
Buck bigger rounds with a tarp right up against the log. Its easier to slide the tarp after 4-5 cuts, collecting the bulk of it in the first place than to try to get it out of someone's manicured grass.
I've seen a BR600 in use, and its really useful, though with a sizeable takedown, you will still have created a bunch of saw chips that can only be hidden so much, the rest needing to be hauled.
For really finicky people, I've thought of charging them a premium service fee and bring a good bagger mower to "vacuum" them up, as I don't have a walk behind vacuum, though they're rentable, for the really fancy-pants, anal-retentive types who are willing to pay for the premium service. Thankfully, these types are very few and far between for me. Last job at the gated country club, I wanted to fire the whole place from future work, but will just have to charge them extra extra.