4800 is the max weight loaded. That's a little heavier than the Corvette's rating but not enough I'd rule it out on that basis unless you plan to use this truck to haul cargo.
Another concern would be how stout the differentials you consider are. Now all Corvette differentials are all that stout. If you get the Dana 44 you're probably good, but the Dana 36 would make me nervous in a truck.
