When Allison's team shut down after the
1996 season, Cope signed on with the fledging
MB2 Motorsports operation, driving the #36
Skittles Pontiac to a 27th-place finish in points. After one year, he was released and signed on with the
Bahari Racing operation. Despite missing some races due to an injury, Cope won his first career pole position at
Lowe's Motor Speedway, although he failed to post a top-10 finish in the #30
Gumout car.
Cope returned to Bahari in
1999 with
Sara Lee sponsorship. After failing to qualify for 10 races, Cope was released from the team. He made sporadic appearances for
LJ Racing and
Larry Hedrick Motorsports, and later signed on to drive the #15
Ford Taurus owned by
Fenley-Moore Motorsports. However, Cope became unhappy when the team only ran a part-time schedule, and quit in disgust. He spent the rest of the year on the sidelines, before taking over the #86
R.C. Cola Dodge Ram at
Impact Motorsports at the end of the season in the
Craftsman Truck Series.
In
2001, Cope announced the formation of
Quest Motor Racing, a team he would co-own with drag racer
Warren Johnson. The team didn't qualify for a race all year, and his only start came with
CLR Racing. He ran four races in the Busch Series in the #94 owned by
Fred Bickford, posting a best finish of 21st at
Bristol Motor Speedway. The team had mild success the next year, garnering sponsorship from
Avacor and
Poison. Cope also ran some races with
BAM Racing that year.
After 18 starts in
2003driving the #37 Friendly's Ice Cream Chevrolet, Cope merged the team with
Arnold Motorsports.Cope qualified 5th for the 2004 Carolina Dodge Dealers 400,but after several starts, Cope was released from the ride, so he took back his equipment. He also ran 30 races in the #49
Advil Ford for Jay Robinson in the Busch Series that season. His best finish--20th place--came at Daytona.
In
2005, Cope tried merging his team again, joining forces with
Larry Hollenbeck and
S.W.A.T. Fitness, but lost the opportunity after he failed to qualify for the Daytona 500. Cope had attempted a couple of races with
Ware Racing Enterprises before making his only Cup start of the season at
Martinsville Speedway, finishing 33rd in the #08 Royal Administration/Sundance Vacations/My Guardian 911 Dodge for
McGlynn Racing. Cope was later given the team's full-time ride in the #00, as requested by the sponsor.