Tyler Haws had 19 points for the Cougars (15-6, 5-2 West Coast), as the team's leading scorer rebounded from a one-point game on 0-of-9 shooting in Thursday's loss to No. 10 Gonzaga.
Ryan Nicholas had 16 points and 11 rebounds for the Pilots (8-13, 1-5).
BYU, which shot 51.7 percent (31 of 60) from the floor for the game, led 39-29 at halftime. Carlino started the second half hot, scoring 10 points and hitting two 3-pointers in the first 4:31 as the Cougars built a 53-34 cushion.
Portland got no closer than 13 the rest of the way.
Carlino, who made 10 of 17 shots, had six assists and four steals.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.
Guard Naz Mitrou-Long, whose 2015-16 season ended in December due to hip problems, has been granted a hardship waiver for the coming season, Iowa State said.
As the Sooners look to life without superstar Buddy Hield and his sidekicks, it's clear their unseasoned players will need to grow up fast.