"We didn't look at the fact that they lost to Harvard. They're a Top 25 basketball team," Miami coach Frank Haith said. "You don't win in the Dean Dome if you're not a good basketball team. We actually felt we were going to get their best game."
BC (13-4, 1-1 Atlantic Coast Conference) has another top ACC opponent next: No. 4 Wake Forest.
A few Miami fans in the crowd began chanting "Harvard!" when the Hurricanes (12-3, 1-1) opened an eight-point lead, 49-41, early in the second half.
"The offensive rebound at the end was a big, big play for them," BC coach Al Skinner said. "I don't think we had them exactly where we wanted them, but we had a chance."
Rice hit a pair of free throws, and then Reggie Jackson stole the ball from McClinton -- drawing his fifth foul when he tried to get it back -- and made two more foul shots to make it a one-point game with 33.9 seconds left. Brian Asbury hit two free throws for Miami, then Collins stood under the basket and took the offensive foul when Rice drove the lane.
"It was a bang-bang play," Rice said. "It could have gone either way."
It was a call not often made against a home team in the final minute, but Skinner stopped short of outwardly criticizing the officials.
"I've got to get an interpretation for what an offensive foul is. I don't understand it," he said, holding back a smirk. "I've got to figure it out, so I can coach my guys better.
"I learned it different. I teach it differently. There's a miscommunication there."
Collins went 1-for-6 from the floor and 11-for-14 from the line for Miami, which has won nine of 10.
Rice, who scored 25 against the Tar Heels and was the ACC player of the week, scored 21 with eight rebounds, shooting 6-for-18 from the field. Rakin Sanders had 18 with five rebounds, three blocks and three steals.
The Hurricanes went 7-of-8 from the line in the final 33 seconds, while BC missed 2-of-4 down the stretch to add to its woes.