We are an accoustic atheist cover band called "Monster On Sunday". We have just begun and already we are the official band of CFI in Portland Oregon plus we just played with Shelley Segal! We are looking to play more shows. Our contact information is below, as well as a music sample.
Good for you! Here's some more acoustic atheist songs you might like to cover:
Talking Heads - Heaven
Let The Mystery Be - Iris DeMent H.Q.
Darwin Song Project - Mark Erelli 'Kingdom Come'
I just found this post, sorry the response comes a year later. We are an alt-rock band from Portland OR and all 3 members are atheists. You can check us out below.