Dawes was drafted in the fifth round, 149th overall, in the 2003 NHL Entry Draft by the New York Rangers, after two seasons in the WHL. After three seasons of junior hockey and four games in the American Hockey League for the Hartford Wolf Pack at the end of the 2003–04 season, the Rangers signed Dawes to his first professional contract on September 1, 2004, when he was 19 years old. Dawes went on to play another season with the Ice, recognized for his talent as a finalist for the Four Broncos Memorial Trophy (WHL player of the year), before breaking into the professional game in the AHL. Dawes finished his Kootenay Ice career as the franchise leader in goals, with 159 scored in 245 games.