Upstate beat Bob Jones 107-41 earlier this season.
Buchanan made 10 of his 12 field goals as Upstate made 53.2 percent of its shots, including 14 of 36 from 3-point range. Thomas was 5 of 11 from distance and Bridges made four of his nine 3-pointers.
Barber-Scotia (1-9), a member of the United States Collegiate Athletic Association, was led by Walter Jackson with 15 points and ShaQuille Wilson's 11. The Mighty Sabers made just 14 of 65 shots (21.5 percent) and were out-rebounded 65-26.