2009-10: Draeger, who played his youth hockey in Edina, skated for the U16 team at Minnesota's Shattuck-St. Mary's School. In 53 games he scored 1 goal with 9 assists. Shattuck finished with a record of 42-9-2 and reached the quarterfinals of the USA Hockey U16 Tier 1 championships, falling to the North Jersey Avalanche, 3-1.
2010-11: Draeger moved up to the prep team as a junior at Shattuck-St. Mary's School prep team. In 54 games he scored 3 goals with 8 assists and had 18 penalty minutes. Shattuck finished the season 45-6-3 and defeated the Mid-Fairfield (Ct.) Blues to win the USA Hockey Tier 1 U18 National Championship.
2011-12: Draeger was the leading scorer amongst defensemen in his second season with the Shattuck-St. Mary's prep team and committed to playing college hockey at Michigan State in 2012-13. In 57 games he scored 11 goals with 30 assists and had 36 penalty minutes. Shattuck won its second straight U18 Tier 1 national championship – defeating the LA Kings, 2-1. Draeger was ranked 106th amongst North American skaters in Central Scouting's final rankings and was selected by Minnesota in the third round (68th overall) of the 2012 NHL Draft.