I would caution you against exposing the affair to "everyone in our town." Immediate family, best friend(s), possibly employer -- people who are in a position to hopefully influence the wayward spouse, all OK.
But the idea is NOT to simply shame them in front of the entire town. If that's what you're doing, I would sincerely check your motives. I, myself, exposed to probably two or three faiirrrly close friends that, if I had it to do over again, I would have only told them that we were "having problems."
