While the Titans' six runs were well below their season average of better than 10, Carl Albert built a quick lead before relying on its pitching and defense to carry it to the title.
Gavin LaValley delivered a two-run single in the first, and Carl Albert (39-3) eventually led 5-0 after two.
“We said we wanted to make a statement and I think that did it,” LaValley said. “After we got up 5-0 with Chevin on the mound, we were set.”
Noone (7-0) pitched into the sixth before Randy Allen took over.
Allen retired all five batters he faced to pick up his second save of the tournament and fifth of the season. He earned the win in Friday night's 10-2 win over McAlester.
“Randy's a strike machine,” Dozier said. “He gets people off balance.”
Carl Albert allowed just four runs in the tournament.
Hawkins, an Oklahoma signee, blasted a solo home run to left leading off the fifth for his 28th home run of the season.
LaValley finished 3 for 4, while Polston and Hawkins had two hits each.