I would think that the Run n Gun results from last year should tell you that these cars are not suited to the drag strip. IMHO Cobra's in general shouldn't spend any time at the strip unless they are fully prepared for it.
Baileys car that hit the wall at 100 mph was NOT the standard street BDR replica. Is was one of their new race cars that has a pretty significant roll cage that undoubtedly adds some stiffness to the chassis. Even it was obviously not designed for the strip.
The standard BDR chassis is "compliant" let's say. It makes a wonderful driving street car. It handles very well on the track. Unfortunately I have a serious track addiction. Once I got a car with a substantial roll cage around me, I never felt comfortable in the Cobra again on the track. Fiberglass is about as much protection as 2 layers of wax paper.
Looking for a car to track, drag and cruise is always going to be a compromise for at least 2 of those.
Good luck with your search.