Edwards finished with 113 yards on 12 carries while Duke Johnson added a rushing score for the Hurricanes (3-0), who followed up a close win over Florida with a blowout victory.
Eduardo Clements added 75 rushing yards on 11 carries in the win.
Quarterbacks Stephen Morris, Ryan Williams and Gray Crow combined to go 20-of-23 for 313 passing yards and four touchdowns for Miami.
Antonio Bostick started under center for the Tigers (1-3) and managed only 23 passing yards with two interceptions on 3-of-11 efficiency.
Notable deaths of 2014 [PHOTOS]