Broman became the seventh player in program history to make 200 3-pointers. Seven Eagles scored from the arc. Adam Pickett had 11 points and Kyle Zunic 10 for Winthrop (13-6, 5-1 Big South), which made 13 of 40 3-point attempts to 4 of 24 for the Bulldogs (2-18, 0-6), who lost their eighth straight.
The Eagles, who beat the Bulldogs in their conference opener 80-65, swept the regular-season conference series for the first time since 2008-09.
Tajion Smith scored 17 points and Stephen Edoka 11 for Asheville, the youngest team in the country with eight freshmen and five sophomores.
Winthrop, leading by 11 at halftime, opened the second half with a Zunic 3-pointer and two free throws from Josh Ferguson and led by comfortable double figures the rest of way, leading by as many as 24 late.
Winthrop scored the game's first 13 points with Broman making consecutive 3-pointers and Charles Falden capping the run with another 3. The lead reached 19 before Asheville cut it to 32-21 at halftime.
LeBron, Drake get out of their seats after a dunk from this UCLA commit
Amari Bailey drops the hammer with his left hand, which impresses LeBron James and Drake.
UConn men's basketball coach Dan Hurley hopeful compensation law will keep players in school
UConn men's basketball coach Dan Hurley is hopeful legislation passed this week in Connecticut that will allow college athletes to profit from the use of their names, images and likenesses will keep more players in school.
Wake Forest adding Ole Miss graduate transfer Khadim Sy
Wake Forest is adding Khadim Sy from Ole Miss as the Demon Deacons' fifth Division I transfer this offseason.