Drew Bledsoe Autograph, signed in black on white numbers, on a custom blue Buffalo Bills Jersey complete with Beckett Hologram. Drew McQueen Bledsoe is a former American football quarterback who played in the National Football League for 14 seasons, primarily with the New England Patriots. He played college football at Washington State, where he won Pac-10 Offensive Player of the Year as a junior, and was selected by the Patriots first overall in the 1993 NFL Draft.