Beech was drafted 7th overall in the 1999 NHL Entry Draft by the Washington Capitals. At the time he was playing for the Calgary Hitmen of the WHL. Beech was traded to the Pittsburgh Penguins in July 2001 with Michal Sivek, Ross Lupaschuk, and future considerations for Jaromir Jagr and Frantisek Kucera. Beech appeared in 79 games for the Penguins, recording 10 goals and 15 assists for 25 points. Disappointed with his development, the Penguins traded Beech on September 9, 2005 to the Nashville Predators for a conditional draft pick. Beech returned to the Capitals organization on March 9, 2006, having been traded, along with a first-round pick, for defenseman Brendan Witt. He was sent down to the Hershey Bears to join their AHL playoff campaign and helped them to a Calder Cup victory against the Milwaukee Admirals. On January 10, 2008, Beech was claimed off waivers from Columbus by the Vancouver Canucks. However, on January 23, 2008, after just four games with the Canucks in which he recorded one goal and one assist, Beech was subsequently placed on waivers and claimed by the Washington Capitals. Before playing a single game with Washington, Beech was once again placed on waivers, which led to him being re-acquired by the Pittsburgh Penguins, Beech's fourth team in the month of January. On October 10, 2008, Beech signed a one-year contract with the Swedish Elitserien team HV71. He joined his new team three days later. On April 28, 2009, Beech was re-signed to a two-year contract extension with HV71. Prior to the 2009–10 season on September 4, 2009, Beech signed a six-week loan contract with HC Genève-Servette. In his eight games with Genève-Servette, he scored two goals. On October 14, 2009, Beech was returned to HV71. On May 25, 2011, the Finnish club Lukko Rauma announced that Beech signed a one-year contract with the team. Upon completion of the season with Lukko, Beech was again on the move within Europe signing a one-year contract with Czech team HC Pardubice on June 25, 2012. During the 2012–13 season, on December 4, 2012, Beech transferred to join AIK of the Elitserien for the remainder of the season. In the 2013–14 season, Beech moved to Germany to play in the Deutsche Eishockey Liga with the Straubing Tigers. He scored 24 points in 36 games, before opting to transfer to the Austrian EBEL league with the Vienna Capitals for their playoff run. On July 3, 2014, Beech decided to remain in the EBEL, signing a one-year contract with HC TWK Innsbruck. On July 2, 2015, Beech signed a one-year contract with Northern Irish club, the Belfast Giants of the British Elite Ice Hockey League.
Personal
During the offseason, Beech is a guest instructor at the Sicamous Hockey School, located in Sicamous, British Columbia.
