Do you ever doubt your atheism?

[Mudhammam]

I'm not, and no I don't. The use of the word 'being' refers to an intentional entity. If you are using it in some other sense, you have not made that explicit.

I use the word "being" to simply mean, "to be," in contrast to "non-being." You'll have to clarify your definition of "intentional entity" but that's not necessarily what I had in mind.

Sorry, but it's not clear to me what modern cosmology deals a fatal blow to.

Near fatal. An eternal, spacetime, material Universe.

There is nothing valuable in any religion that is not available from a non-religious source. So, there's that.

There is a non-religious source for ideas such as the soul, free will, and hope in the continuation of life after death? I don't think so. You might not find these ideas valuable, but I would tend to agree with the vast majority of human beings presently and throughout history who do.