A Certificate of Destruction (or C of D) is only issued when the car is unrebuildable (as deemed by the insurance company). These are cars that required more than 80% of the vehicle's cost to repair.
Kentucky has been accepting Florida C.O.Ds for YEARS. You send in the C.O.D. to the transportation cabinet, submit two notarized body-shop estimates to repair the vehicle, along with 2 photos of the car showing the damage, and in turn, they send you a Kentucky Salvage title. From there, you just repair the vehicle, have it inspected (They only write down your VIN and check the mileage for your inspection. They don't actually inspect the work itself) and send in your receipts and a notarized labor statement. From there, you'll get a letter in the mail that allows you to register the vehicle and receive a Kentucky Rebuilt Title.
Only catch......you have to be a KY resident