I don't know how you dress. And with the restrictions you keep adding I'm not sure exactly what you are looking for here.
Do you wear a sport coat of suit jacket type thing? Can you do a shoulder holster?
If your church does the hug your neighbor thing or hugs in general that may be a bit awkward. But it seems it would give you any pistol option you like with a good chance of concealment.
Just looking for conversation mostly from people who are doing it. Suit jacket or sport coat is really going to be the only way to go. I haven't wore a shoulder holster since Miami Vice was on the air. Lol.