While I am not a religious person and hence does not care for some of the connotation in the word - I find it hard to find a more descriptive word in this case.
Neither do I believe any magic happens when all the stars align. But I do like it as a poetic rewrite of "simple luck".
So I understand your beef but you offer no alternative.
Best case outcome in a though situation does not have the same ring to it.
I interpret a miracle escape as something like "nobody had any idea what to do, but by miracle, everyone survived". The alternative would be "the flight crew did what they were trained to do, the process worked, and everyone survived". Here the difference between a miracle and procedure is the difference between luck and competence.
More discussion over here: https://news.ycombinator.com/item?id=38839885