Between them, the co-leaders have just one Champions Tour victory -- Bean won the Greater Hickory Classic in 2006. Goodes joined the over-50 tour last year and has yet to finish among the top 20.
Bernhard Langer, coming off a 15th-place finish at The Players Championship, was alone in third at 67. Mike Hulbert, Bob Charles and Walter Hall were all at 68.
Soggy conditions greeted the players as the Ross Bridge Golf Resort & Spa.
"Maybe with the course being wetter it helped me keep the ball in the fairways," Bean said. "The greens were holding too."