I say give them the permit. For a blind person it would be strictly symbolic, but the symbolism might be very important to them. A permit is not a "license to kill." Having a permit does not absolve a person, whether sighted or not, from exercising common sense. And common sense says that a blind person should never fire a weapon. If a blind person lacks such basic common sense, it is doubtful that withholding the permit is going to stop them from illegally carrying and discharging their weapon anyway.
I wonder if a blind person could sue for one under the ADA?