Meacham made his debut in 1990, running his family's car at Richmond. Starting 33rd in the thirty-six car field, Meacham would slide to 34th after rear end problems. He would complete 87 laps that race, which turned out to be his career best start and finish.
Meacham returned to the track for two early starts in 1991. Starting 39th at Rockingham, Meacham wound up 36th after ignition problems. The results weren't better at Atlanta, where he started and finished 38th and has not raced since.