Miami (25-6) advanced to play No. 4 Virginia in the semifinals Friday night. All four top seeds won in the quarterfinals, with No. 7 North Carolina and defending tournament champion Notre Dame also advancing.
McClellan and Rodriguez combined for 31 points in the second half.
Guard Seth Allen thrived on drawing fouls and led Virginia Tech (19-13) with 31 points, including 17 free throws. Leading scorer Zach LeDay was held to 12 points in limited action.
Miami was determined to start strong and led by as many as 10 in the first half. The Hokies closed out the half on an 11-2 run to the delight of orange-and-maroon heavy crowd.
Rodriguez heated up early in the second, hitting 3-pointers on three consecutive possessions and stealing the ball from Justin Bibbs for an easy layup. LeDay and the Hokies' emotions started boiling over trailing by 11.
The hole got deeper, and McClellan's wide-open 3 with 12:18 was Miami's sixth straight made field goal and boosted the deficit to 15. After Miami's Tonye Jekiri was called for a technical foul and the free throws piled up, Virginia Tech trimmed it to six with 1:19 left.
The Hurricanes made enough free throws down the stretch to seal a trip to the conference semifinals and set up a date with Virginia.
Miami: Backup point guard Ja'Quan Newton scored 10 points in his return from a three-game absence. ... Coach Jim Larranaga returned to Verizon Center, where he advanced to the Final Four with George Mason in 2006.