Broadway was born in Bryan, Texas, and attended Grand Prairie High School, where he was an all-district performer all three of his years on the varsity team.

Broadway was selected 15th overall (the fourth pitcher taken in the first round) by the Chicago White Sox in the 2005 Major League Baseball Draft.

[4] He went into the 2006 season considered the eighth best prospect in the White Sox system, and combined to go 8–8 with a 2.75 ERA and 117 strikeouts in 26 starts and 160.1 innings pitched between the Double-A Birmingham Barons and Triple-A Charlotte Knights.

[4] The White Sox, with a surplus of starting pitching, and realizing that Broadway was unlikely to crack the team's rotation saw an opportunity to acquire a veteran backup catcher.

[12] In 2014, Broadway was cast as "Commander Linden" in Sci Fi thriller Teleios, which was later renamed Beyond the Trek and released in 2017 by Screen Media Films.