Hours after second-leading scorer Shamari Spears was suspended indefinitely, Braswell shot 7 of 8 and Jones was 7 for 7 for the 49ers (3-4). Charlotte overcame its lack of depth by dominating inside to snap a two-game losing streak.
Spears, a senior averaging 17 points a game, was benched in the second half of Wednesday's loss at Oregon State and then posted on Twitter that he was contemplating quitting the team.
The school announced just before tipoff that Spears had been suspended for the third time in just over a year for violating team rules.
Charlotte didn't need him against the cold-shooting Highlanders (2-3), who got 16 points from Jareal Smith and 11 points and nine rebounds from Jonathan Edwards.