Late Saturday, after hanging with Rose all day, Schauffele three-putted from the edge of the 18 green to drop one shot behind heading into the final day.
"I've been monkeying around with it at home and in the backyard throughout the summer, just never felt right, but it feels good", Woods said. The list includes Tiger Woods, who shot 66 and made up no ground on the lead.
Woods and McIlroy shared the first-round lead after each opened with 62s, but Woods struggled to a 70 to fall five shots off the pace and McIlroy is four back following a second-round 69.
Peter Uihlein, who only advanced to the third FedEx Cup playoff event with birdies on his last three holes on the TPC Boston last week, had a 64 to join a group that included FedEx Cup champion Justin Thomas.
A victory should be enough for Rose to reach No. 1 in the world, especially with Dustin Johnson and Brooks Koepka nine shots out of the lead.
Leishman is projected to need at least a tie for 38th to remain inside the FedEx standings's top 30, who advance to the Tour Championship finale.
"I hit the ball well enough to shoot a low score and I got off to a quick start", Woods said.More news: Homeless man suing couple who raised $400,000 to help him
"I guess I had good sort of good vibes and good memories and it was nice to see it go in".
"I've got to make birdies", Woods said.
Schauffele wasn't sure that even a win at the BMW would be enough to sway Furyk's opinion on the final pick. Give these pros a course this soft and they will go to town - and so they painted it red. Starting times were moved up four hours because of a forecast for more rain.
Woods once used that phrase - "winning takes care of everything" - when he returned to No. 1 in the world after his injuries in 2013.
You can follow the BMW Championship third round leaderboard here.
As much as fans want to see Tiger succeed, it's hard to stomach the subjective enthusiasm seeping out of the broadcast booth. Tony Finau is considered the heavy favorite to get the nod. Any further delays would cut into their valuable recovery time, especially with the Tour Championship and Ryder Cup on deck.