Also, "no bounds on how long ago life may have formed" just displays ignorance of the fact that we do in fact have bounds on the age of the universe.
It is obvious to me that you have ruled miracles out by definition, allowing you to conclude that miracles must not have occurred. Forgive me for rolling my eyes.
There are single proteins that are so complex that the search space for them is so large that it would be equivalent to picking a single specified elementary particle out of all the elementary particles in the Universe. Also, the shape of a protein is like a combination lock -- you have to get it right or it just doesn't work and also gives you no feedback that you can use to make a better guess.
Also, why are you a theist? Do you hear God talking to you or something like that?