Born and raised in North Little Rock, Arkansas, Coby moved to Chicago after an internship at Arkansas Rep, and began working extensively in the Chicago storefront theater, including Steppenwolf and Goodman. He is the winner of the American Theater Critics' Osborn Award for Emerging Playwright for his play Marked Tree, produced by Seanachai Theater Company. He plays Father Daniel Leone in both Man of Steel and Batman v. Superman. He can be seen in a variety of commercials.