Regular answer: If the nail part is flush maybe you could drill them out like pop rivits. With 80 fasteners that's a lot of drilling, but hopefully it will reduce the amount of force needed to pull them out.
Mad scientist answer: freeze them with liquid nitrogen and shatter the heads with a couple taps. I also understand this can be accomplished with electronics cleaner (canned air).
Mad scientist answer: freeze them with liquid nitrogen and shatter the heads with a couple taps. I also understand this can be accomplished with electronics cleaner (canned air).