If you can get the price down you might be able to part the car out at a profit. I know this is sacrilege--and NOT what I'd like to see happen--but if the seller gets frustrated that he can't get what he thinks the car is worth he might just call the local scrapper. I've seen this happen (but fortunately not to a Healey). Better to at least get some use out of the car.
The shrouds alone, if they're in good shape, might be worth several thousand to someone trying to restore a car with a drivetrain and decent chassis (I think patch panels for the shrouds are a thou or more, and good luck trying to weld them up properly). Wings (fenders) could be worth $500 or more. We paid $400 for a decent, used original gas tank. Even the springs, shocks, steering, instruments, rearend, etc. are worth money to someone.
Again, not what I'd want to see happen, but sort of like donating organs--if you don't need them anymore maybe someone else can get a few miles out of them.