The win improves Hamilton's record to 8-7-0-1, putting them second in the North Division standings.
The Bulldogs opened the scoring at 4:29 of the first period when Michael Lambert notched his fourth goal of the season, getting assists from Maxim Lapierre and Corey Locke.
Hamilton increased its lead to 2-0 late in the second period when Jancevski notched his first goal of the season at the 18:47 mark, letting a shot go from the point that beat Iowa netminder Tobias Stephan.
Chipchura gave the Bulldogs a 3-0 lead in the final frame, but forward Vojtech Polak then answered for the Stars to make the score 3-1.
Iowa pulled within a goal when Krys Barch recorded his first tally of the season.
Yann Danis made 24 saves on 26 shots for Hamilton, picking up his fourth win of the season, while Iowa netminder Stephan stopped 32 of the 35 shots.
Special teams played a large role in Hamilton's victory. The Bulldogs were one-for-three with the man-advantage, while their penalty kill was a perfect three-for-three.