Why, then, must God (or some other intelligent source) a priori be ruled out as the source of the order we measure in the universe -- the complex informational coding of DNA, the gravitational laws of Newton / Einstein, the orderliness of the elements in the periodic table, and the like?
These can easily be explained:
Gravity, physical laws etc - they have to work as they do otherwise the universe couldnt have come into existence, if gravity was a different value the big bang would never have materialised into anything. Why assume there is one universe? There have likely been multiple universes, most failing, ours works because the variables were correct. So by defination, they just work, else it wouldnt be here.
DNA evolved very slowly over time, nothing miraculous about it. No more miraculous than the technology we have today which also evolved (albeit near-infititely quicker than natural technology)