Means had the highest finish of his career in 1983, when he had a seventh-place run at Talladega. Combined with two other top-tens, he dropped seven spots in the standings. During the 1984, Means suffered injuries in a crash at Talladega Superspeedway, forcing him to miss several races. He did not have a top-ten finish over the next two years, and he lost his Broadway sponsorship, picking up funding from Voyles Auto Savage in late 1986. He also switched his manufacturer to Pontiac.