In '68 there were 2,083 GT-500 fastbacks produced(1,150 GT-500's/933 GT-500KR's) and there were 720 GT-500 convertibles produced(402 GT-500's/318 GT-500KR's) I'm am unaware of ANY GT-500H's that were built by Shelby. The only Shelby vehicle with the "H" suffix was the '66 GT-350H(Hertz rental cars) which were primarily black with gold stripes, but a limited number of these cars came candy apple red with gold stripes. If someone is trying to sell you a '68 GT-500H...I would take it to be a a load of BS. Every Shelby is backed with paperwork from Shelby-American and can be traced through the Shelby American Automobile Club. Hope this helps!
New Toy- Stone stock '88 T-bird Sport in need of some TLC
1988 Cougar XR-7- HO/T-5 conversion, cracked block prevented from reaching full potential.
RIP '88 T-Bird....firstname.lastname@example.org...best sleeper in So. Jersey, now it's taking a permanent dirt nap.