Born in Westerville, Ohio and raised in Galion, Shuck went to Galion High School. At Galion High, he batted .576 with a 1.650 OPS and had a 1.12 ERA with 134 strikeouts in 69 innings, and also lettered in basketball. Shuck went to Ohio State University where in 2006, as a freshman, he batted .325 in 123 AB as a hitter, and led the team in ERA as a pitcher. He was named the Big Ten Freshman of the Year. In 2007, he hit .382 and had a 4.89 ERA. He played with the Cotuit Kettleers of the Cape Cod Baseball League in the offseason. In 2008, he hit .356 and had a 4.29 ERA and led the team in strikeouts. Shuck was drafted in the sixth round, 182nd overall, by the Houston Astros as an outfielder in the 2008 MLB Draft.

Shuck played 2008 with Short-Season Tri-City, where he hit .300 and was a New York–Penn League All-Star. He played with High-A Lancaster in 2009, where he hit .315 with 18 SB and 36 RBI. He started 2010 with Double-A Corpus Christi, where he was a Texas League All-Star, hitting .298 with 28 RBI in 101 games before earning a promotion to Triple-A Round Rock. After the Astros and the Texas Rangers switched affiliates, Shuck started 2011 with Oklahoma City, where he was a Pacific Coast League All-Star, with a .401 OBP in 101 games before earning a promotion.

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