Hines and Simon hit three 3-pointers apiece. Jordan Clarke added nine points and 11 rebounds for the Bulldogs (4-4), who went ahead for good, 31-29, on Richard Carter's layup 2:20 before halftime and led by as many as 16 in the second half.
Frank Gaines, who came in averaging 19.2 points per game, had a game-high 27 on 8-of-17 shooting for the Mastodons (5-6), and Michael Kibiloski chipped in 10 points off the bench. IPFW shot just 36 percent from the floor and committed 21 turnovers.
Drake never trailed, but IPFW tied it at 29 late in the first half. The Bulldogs, though, closed the half on a 10-0 run before Clarke's layup just after halftime made it 41-29.
Devin Williams' decision last month to sign with an agent and enter the NBA draft has left West Virginia in a tough spot.
Florida State's student government has passed a resolution discouraging Seminoles fans from wearing Native American headdresses at games.
The second annual Gavitt Tipoff Games, eight games between members of the Big East and Big Ten to be played Nov. 14-18, will feature Villanova at Purdue in the opener.