Bradford shot 4 of 4 from long range and McCloud was 6 of 8 from the floor. Devontavius Payne and Kanayo Obi-Rapu added 11 points apiece for East Tennessee State (2-2), which shot 52 percent from the field. Peter Jurkin grabbed a game-high 10 rebounds and chipped in nine points.
Kobe Gantz scored 17 points to lead Delaware State (1-4).
The Hornets held the lead for most of the first half until David Burrell made a dunk, sparking a 12-0 run to give the Buccaneers a 25-16 halftime lead. Payne scored five points during the stretch.
A 6-1 spurt, capped by Gantz's 3-pointer, pulled Delaware State to 26-22 but the Hornets didn't get closer.