James Buescher and the RAB Racing No. 99 Rheem team battled a loose-handling race car.
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Bayne spent most of the later laps hovering close to a top-five finish until rain forced NASCAR to wave the red flag on lap 168.
Elliott Sadler finished the day in the sixth position, and moved within six points of the lead for the Nationwide Series driver championship points.
With this finish, Buescher would tie his career best finish of 12th at PIR in a NASCAR Nationwide Series car.
Trevor Bayne pushed eventual-race winner Regan Smith to the front, before making one last three-wide move for the victory.
The right rear damage received on pit road slowed Lagasse Jr.'s throughout the day, but managed to run inside the top-20, slipping to 26th late in the race.
“This was the best car I have ever driven at a superspeedway”, said Jamie Dick.
The NASCAR Nationwide Series resumes action Saturday, March 1st when they travel out west their first of two visits at the Phoenix International Raceway.
The finish was RFR’s best in the February Daytona NNS race since Carl Edwards finished runner-up in 2010.
Kyle Busch (fourth) and Elliott Sadler (fifth) crossed the finish line behind race-winner Regan Smith, Brad Keselowski (second) and Trevor Bayne (third).
The finish was the seventh closest in NASCAR Nationwide Series history and second closest at Daytona.
"We put in a hard-fought year - everyone on this No. 77 team did the best they could all year long"
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While the NASCAR Cup drivers were trading off the top spots in the Nationwide race, Austin Dillon and Sam Hornish Jr. were focused on the title fight.
"I think we finally got the monkey off our back here at my home track"
"I guess we rolled a tire and we had to go back for a drive through and we got a lap down"