Chicago (7-2) held a 63-57 advantage with 5:12 left in the game before Coe (8-1) went on a 10-0 run to take a 67-63 lead at the 2:18 mark. Brungard's three-pointer with 2:47 remaining put the Kohawks in the lead for good, 66-63.
Trailing 68-66, the Maroons had a chance to take the lead when Jesse Meyer was fouled during a three-point attempt with 13 seconds showing on the clock.
Meyer missed two of the three foul shots, including the third attempt after which Coe gathered the rebound. Brungard then hit a pair of free throws with six seconds left to cap the victory.
Chicago, which had shot 80.2% from the free throw line in its first eight games, connected on only eight of 17 tries (47.1%) as it lost at home for the first time this year and the first time in nine games dating back to last season.
Chicago led by as many as 15 points (22-7) in the first half en route to taking a 39-31 lead at the intermission.
The Maroons built a 10-point advantage, 47-37, on a Meyer three-pointer with 16:16 left in the contest, but Coe then launched a 14-2 run to regain the lead, 51-49, at the 10:10 mark.
Brandon Woodhead led the Maroons with a career-best 26 points. He also collected four assists and a pair of steals.
Meyer added 15 points, including four three-point field goals, while Jason Vismantas came off the bench to contribute 10 points and a team-high seven rebounds.
Mike Kilburg led three Kohawks in double figures with 20 points. Kyle Kuenstling and Rob Hanna finished with 13 and 12 points, respectively. Kuenstling also grabbed a game-high nine boards.
COE (8-1) KILBURG, Mike 8-13 4-6 20; KUENSTLING, Kyle 6-11 0-1 13; HANNA, Rob 4-12 4-4 12; TIMMERMANS, Ross 3-5 0-0 8; BRUNGARD, Brian 2-8 2-2 7; PETERSEN, Kale 3-5 0-0 7; BREITBARTH, Aaron 1-1 1-2 3; DILLON, Zach 0-1 0-0 0; GORENSTEIN, Marc 0-0 0-0 0; YANSKY, Brandon 0-0 0-0 0; KEHE, Chris 0-0 0-0 0; DUX, Kevin 0-0 0-0 0. Totals 27-56 11-15 70. CHICAGO (7-2) Woodhead, Brandon 10-14 3-4 26; Meyer, Jesse 5-10 1-4 15; Vismantas, Jason 5-6 0-0 10; Pancratz, Jake 1-3 2-4 5; Machones, Adam 2-4 0-0 5; Hainje, Nate 1-7 2-4 4; Watson, Tom 1-6 0-0 2; Adams, Drew 0-3 0-1 0; Brannon, Derek 0-1 0-0 0. Totals 25-54 8-17 67. Coe........................... 31 39 - 70 Chicago....................... 39 28 - 67 3-point goals-Coe 5-19 (TIMMERMANS, Ross 2-4; BRUNGARD, Brian 1-6; KUENSTLING, Kyle 1-3; PETERSEN, Kale 1-2; HANNA, Rob 0-4), Chicago 9-23 (Meyer, Jesse 4-8; Woodhead, Brandon 3-4; Pancratz, Jake 1-1; Machones, Adam 1-2; Adams, Drew 0-2; Watson, Tom 0-1; Hainje, Nate 0-4; Vismantas, Jason 0-1). Fouled out--Coe-None, Chicago-None. Rebounds-Coe 31 (KUENSTLING, Kyle 9), Chicago 30 (Vismantas, Jason 7). Assists-Coe 22 (BRUNGARD, Brian 5; KUENSTLING, Kyle 5), Chicago 16 (Woodhead, Brandon 4). Total fouls-Coe 17, Chicago 13.