Rypien, playing in the same group with Rhoden, trailed him by 10 points at the turn on Saturday, but had three birdies on the back to finish with a 67 and pull within four points of the leader.
"It's nice to be around the leaderboard again," said Rypien, who won the inaugural event in 1990. "I've had 10 birdies in two days and I think that's more than I've had in three years.
"Rick was going to run away with this thing and he was gracious enough to par everything coming home. ... It's not a good sign when he says he's feeling good."
While Rhoden was getting down to business, many of the competitors signed programs, shirts and hats between holes. Carson Palmer threw a football he, Romo and Jerry Rice had autographed to a man on a boat anchored just off the par 3, 17th. Earlier, Rice threw his hat down in mock disgust when an announcer introduced him not as a future hall of famer but a star of "Dancing With the Stars."
Charles Barkley, in last place with minus 63 points, had to take a two-stroke penalty on his first hole when he whiffed a shot in the fairway. His next shot hit a tree and his drive on the next hole hooked into the gallery, narrowly missing the spectators.
Ray Romano, the Emmy Award winning star of the long-running sitcom "Everybody Loves Raymond," did manage to hit a young man when his shot went wide of the par-5 16th skipped off a cart path.
"Are you all right?" he asked the victim. "I'm unemployed now, so there's no money."