Earlier in the day, the Rays selected North Carolina shortstop Michael Russell in the fifth round.
Miles, 22, hit .380 with 11 home runs and 54 RBIs in 237 at-bats, earning first-team Louisville Slugger All-American honors and he was named to the watch list for the Golden Spikes Award, given annually to the top player in college baseball.
Miles was an All-Ohio Valley Conference first-team selection the past two years. His 90 hits this season rank as the third-highest single-season total in Tech history. He also scored a league-best 67 runs, posting a .599 slugging percentage and a .481 on-base percentage. He drew 39 walks and struck out just 21 times.
He bats right-handed and has decent size at 6-foot-2, 190 pounds. He also played at Mississippi Gulf Coast Community College.
Bill Chastain is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.