Aho extended the lead to 4-0 at 9:52 when he was left alone at the net and redirected a pass from Hamilton on a power play.
Mitchell cut it to 4-1 when he one-timed Dylan Strome's pass from behind the net at 18:35.
DeBrincat skated up the left side boards before cutting to the net and scoring on the forehand at 14:38 of the third period to make 4-2.
Aho completed the hat trick, scoring into an empty net at 18:44 for the 5-2 final. He has scored 15 points (six goals, nine assists) in an eight-game point streak.
Delia's relief appearance was his first NHL game since starting back-to-back 5-2 losses to the Lightning (Jan. 15) and Panthers (Jan. 17).
"It's been challenging, but you've got to be thankful for the opportunity to even be in this situation to begin with," Delia said. "I'm very thankful to be a part of the organization and I'm thankful to compete and work with some amazing individuals every day."
The Blackhawks play the Hurricanes here Tuesday and Thursday before ending the season with two games against the Dallas Stars.
"We have to get better, we have to keep improving," Blackhawks coach Jeremy Colliton said. "We have a bunch of first- and second-year guys, even third- or fourth-year guys; we're trying to learn as a group how to play to have success and be at the top and compete against teams like Carolina. We have to use these games as an opportunity to get better."
NOTES: Chicago had 17 shots, its third-lowest total this season. … DeBrincat has scored in each of the past three games. … Blackhawks forward Dominik Kubalik had two assists to extend his point streak to four games (two goals, three assists). … Hamilton is the fourth active defenseman to score at least 10 goals in seven straight seasons. Brent Burns (San Jose Sharks), Roman Josi (Nashville Predators) and Victor Hedman (Lightning) each did it from 2013-20. … Aho had a season-high nine shots on goal. … Svechnikov has six assists in a four-game point streak. … Carolina forward Jesper Fast had an assist playing 13:33 after missing five games with a lower-body injury.