The team debuted in 2001 at the Auto Club 300 as the No. 4 car, qualifying 41st and finishing 31st with Mike Wallace driving their Chevrolet. Wallace made eight starts total that season, his best finish a tenth at Richmond International Raceway. Wallace returned in 2002, running seventeen races. He finished in the top-twenty seven times, including two fourteenth-place finishes.
In 2003, Biagi moved up to the Busch Series full-time with Wallace. They opened the season with a fourth-place finish at the Koolerz 300. Despite missing a race where Rick Carelli filled in, Wallace finished thirteenth in points that year, one position shy of matching his career-best. The following season, Biagi switched from Chevrolets to Fords, and at the Winn-Dixie 250, Wallace took the lead on the last lap to score Biagi's first career Busch victory. He led eighteen laps the following week at Chicagoland Speedway, but ran out of fuel on the last lap, costing him the victory. After posting three more top-tens, Wallace finished seventeenth in points.
After Wallace departed in 2005, Biagi formed a partnership with Chip Ganassi Racing and hired Ganassi development driver Ryan Hemphill. After he failed to qualify for two consecutive races, Hemphill was briefly replaced by Jeff Green, who finished sixth at Richmond. Hemphill returned for three races and had a twelfth-place run at Nashville Superspeedway before he was permanently removed from the ride. Green took over for three races, before Kevin Hamlin took over for the balance of the season. In fourteen starts, his best finish was fourteenth at Memphis Motorsports Park.
For 2006, Mark Green was selected as the team's new driver, and had an eighteenth-place run at Richmond, before he was released in favor of Auggie Vidovich. In addition to Green and Vidovich, Hamlin, Boris Said, and Paul Tracy have driven the car during the 2006 season.
In 2007, BDBR had announced it would switch to Toyota and run with sponsorship from Kibbles 'n Bits, but the team shut down in January due to a lack of funding. Its assets and owners points were acquired by Braun Racing, and the team's number, 4, assigned to Ginn Racing.
Five years later, the team returned at Charlotte Motor Speedway in May 2012, with a new sponsor in Caroll Shelby Engine Company (owned by new partners Bill and Lori DenBeste), a new manufacturer Ford, and a new number 98 car being driven by Reed Sorenson. The car was given a black and gold scheme to honor the late Carroll Shelby and Shelby American's 50th Anniversary. Sorenson finished 16th in the team's return, then finished 13th in their next race at Kentucky. The team dedicated their third race of the season, at the famed Indianapolis Motor Speedway, to Shelby, though Sorenson would finish 34th after a crash. He would run two more races, with a crash at Atlanta and a 12th place and the second Charlotte race. Sprint Car standout and ARCA Racing Series winner Kevin Swindell was signed for two races at the end of the season. He finished a strong 9th at Texas, then placed 21st at the season-finale at Homestead Miami Speedway.
For 2013, Kevin Swindell was signed to run 15 races for the team, beginning at Las Vegas in March. The team partnered with Swindell's long time supporter Mike Curb, who became the listed owner of the No. 98 car (as well as the No. 98 car of Phil Parsons Racing in the Cup Series and the No. 98 truck of Johnny Sauter and ThorSport Racing in the Truck Series). Swindell had two top 10s, though he failed to qualify in their first attempt at Las Vegas.