"Dope Hat" was issued as a promotional single in the summer of 1995. Its music video was directed by Tom Stern, and was based on the tunnel boat ride scene from "Willy Wonka". The band entered Reznor's Nothing Studios in New Orleans to record b-sides for the song's release as a commercial single. However, the release was cancelled, as the material recorded during these sessions was compiled into a standalone EP of cover versions, remixes and interludes titled "Smells Like Children". "Portrait of an American Family" was re-released in 2009 as a limited edition green-colored vinyl LP box set, which also contained a T-shirt emblazoned with the album cover.