Sure.
Do you have the infrastructure, maintenece systems and large body of data to prove it provides equivelent saftey?
If so, by all means put in the requests for variations of the regs. It should only cost several million dollars.
That's what airlines and airline manufacturers have had to do.
I wouldn't have any problem comparing safety records between biz jet ops and airlines..
EBACE: Business aviation not as safe as it is cracked up to be?
This team found that the fatal accident rate for all business jet civil operations is more than eight times that for large Western jets in airline operation, and four times that for large Western-built turboprops flying commercial operations.