King kicked a 22-yard field goal in the third quarter, and a busted defensive play allowed Carraway to connect on a 61-yard pass to Tracy Smith. Chappelle added two points with a conversion run, narrowing the score 37-22.
Carraway connected with Tracy Smith on a 10-yard pass for a touchdown and Escobar added the extra point, which chopped NEO's lead to 37-29 in the fourth quarter.
Carraway hit Chappell on a 19-yard touchdown pass and a failed two-point conversion to make the score 37-35.
Casey Curtis picked up big first-down runs of 12 and 11 yards in the final four minutes of the game to eat up time on the clock.
Mitchem led NEO with 128 yards on 21 carries, and Curtis added 126 yards on 22 carries.
NEO will meet either Kilgore or Navarro on Nov. 10 at Robertson Field in Miami.