‘Randomness is what happens when you shake up a bottle of soda and let the fizz go everywhere.’
This requires some further delineation, because the admission of even one instance of material randomness would undermine your argument. When we say the fizz pattern is random, we mean (1) we are ignorant of the details of the physical forces in shaking the bottle and uncorking it and (2) we are intellectually incapable of recognizing the orderliness of the resultant pattern. When the word, random, is applied to material examples, it does not characterize their materiality. Rather, it characterizes human knowledge as deficient with respect to material forces in detail.
Randomness vs. design in material reality is not a question to be answered by examining examples. It is a question of principle, namely, is material reality intelligible? Nevertheless, just one example of material randomness would demand a negative answer, universally applicable.