Shelton played during his studies of Industrial Engineering of the Georgia Institute of Technology. In 1985, he won the national U.S. Amateur Championship and 1988 he was elected to the best selection All-American. The following year, he became a professional tennis player and won his first title on the ATP Challenger Tour in the same year in Munich. Overall, he won on the ATP Challenger Tour four singles and four doubles titles. His greatest success on the ATP World Tour were the two consecutive titles in Newport by Final victories over Javier Frana and Alex Antonitsch. He also won two ATP doubles titles. Its highest listing in the tennis world ranking he reached in 1992 with position 55 in the singles and in 1994 with position 52 in doubles.
His best individual result at a Grand Slam tournament was reaching the second round at Wimbledon. There he defeated in the first round Michael Stich, after he had already played three rounds of qualification. After further victories over Karim Alami and Jason Stoltenberg, he finally succumbed to the Christian Bergström Sweden in a competitive match in the fifth set to 8:10. In the doubles competition, he reached the second round each at the French Open and Wimbledon. His biggest success in mixed doubles he had on the side of Lori McNeil, with whom he was in 1992 in the final of the French Open and lost to Todd Woodbridge and Arantxa Sánchez Vicario.
After the end of his professional career in 1997, he worked as manager of MaliVai Washington. Between 1998 and 1999 he was a coach at the United States Tennis Association, after which he returned as head coach of the women's team to the Georgia Institute of Technology, with whom he won the championship of the National Collegiate Athletic Association in 2007.