Nathan Boothe had 15 points and 10 rebounds for the Rockets (12-7, 3-3).
Baker had four 3s and 12 points in the first half when the Huskies erased a nine-point deficit to take a 29-27 lead.
Toledo never caught the Huskies in the second half. A 3-pointer by Bradley put NIU up by nine with 12:52 to play but Jaelan Sanford and Boothe had 3s as the Rockets quickly got it back to two. Back-to-back 3s by Baker pushed the lead to 49-38 with 4:37 left and the Huskies hit 7 of 8 free throws to secure the win.