Kelsey Anfinson belted a home run in the first and another in the seventh to pace the Blackhawks.
The junior was 3-for-4 on the night with a triple, two home runs and five RBIs.
The junior pitcher went 4-for-4 with a double, a home run and two RBIs in the win.
Hinton took a 2-0 lead in the first inning but RSM responded with a single run in the bottom of the frame.
The Blackhawks added three in the third and three more in the seventh to lead 8-1 before the Hawks tacked on one more with an RBI single from Emma Krier in the bottom of the seventh.
Sadie Lewis scored the Hawks' run in the first on Jennifer Feller's ground out.
Shawnee Miller collected the win in the circle, allowing two runs - one earned - on five hits. Miller had a two-hitter going until the Hawks got three hits in the seventh.
"Tonight was a complete game for us," Hinton coach Phil Skamser said. "We made plays on defense, got a smart pitching game from Shawnee and of course had some timely power hitting."
Rileigh Burke went 2-for-4 with an RBI and two runs scored while Shannon Miller was 1-for-3 and Jesse Poss went 1-for-2 for the Blackhawks, who totaled 11 hits in the win.
"I felt the girls saw the ball well tonight at the plate," Skamser said. "We have some girls swinging a confident bat."
Kristin Loutsch led the Hawks with a pair of hits in the loss. Krier and Feller each had an RBI.
"They hit the ball hard and we didn't," RSM coach Brad Gralheer said.
Feller allowed eight runs - seven earned - on 11 hits and one walk and struck out three in the contest.
The Hawks (11-5, 6-4) continue War Eagle Conference play on Wednesday at Unity Christian.
Hinton (7-6, 4-5) plays at West Sioux on Wednesday.