Ed, you know it all. I won't expend any more energy trying to entice you to consider another possibility even if it may be remote.
When man didn't know why the sun came up every day, why the seasons changed, why the weather happened, why there were stars in the sky at night, why the tides came and went, why crops sometimes died, why people passed away, there was a lot of room for mystical things.
Now, there just isn't the room any more. All of the above is easily explainable by anyone with the slightest knowledge of the world around us.
I'm afraid I can only give 0.1% chance to things like angels. As with God, I have to say there is a possibility. But the more we know, the slighter that possibility gets.