Maybe you didn't understand my point.
Every biologist I have pressed on this point has given me the same answer. And, since biology now claims to be merely an outgrowth of physics, every physicist I have pressed on this point has also given me the same answer.
I asked this: When it is said that mutation is random, is it meant that it is truly random, or is it that it's too complex for us to know what will happen. Their reply is: it is truly random. By definition, the meaning of "random" is that no one - not even God - can predict what will happen. If you say God is at the steering wheel, then you make God part of the creative process and it is no longer evolution. It is different than a person deciding to procreate or not procreate because we are (supposedly) within the evolutionary process - part of it - a result of it. God would (supposedly) be outside that evolutionary process.
Your example is of natural selection, which doesn't pertain to the random mechanism of mutation. The important question here is: Why was the environment white in the first place? Was it determined to be white? Evolution would say no. If we pushed the reset button and started over, the next time the environment might be black ... or red or purple. Whatever. It's random. No one knows what the environment will be. All we know is that when it happens, beetles will be selected to match with that environment.
So, it's more than God not knowing about Isaac. The result would be that God wouldn't even know if humans would ever exist. He would just have to randomly pick the most promising species when it showed up. By evolutionary theory, then, if God did exist, he might have decided to pick dolphins for his plan rather than some random hominid.