[@Phoenix] Ohhhhhh, now I follow you! Hmmmmm... That's a tough one. Here's my first thoughts:
[hider]

I’d want to do a blind gym leader. Think about it! The communication, both verbal and nonverbal, between trainer and Pokémon would have to be phenomenal. They’d have this deep understanding of Pokémon, almost on an instinctual level and would have trained themselves and their team accordingly.

So this isn’t exactly along the lines of a traditional “type” gym leader, but being blind I think they’d be using Pokémon specifically for sensory deprivation. (Ie, sight, smell, sound) and have their attacks specifically designed to hamper at least one at a time, perhaps more as the battle continued on with lingering arena effects (Thinking of you, sandstorm).The idea being that with one sense gone, trainers would then have to rely on others (just as the gym leader does).  More than that, even as trainers work their way through defeating the gym leader’s Pokémon, as each of their weaknesses is made up via another’s strengths.

And of course, she’d be set up in the Desert on route 111. I think the badge would look almost like an eye of sorts.

The battles themselves would be double or triple battles (Thinking along the lines of a blind person and a guide dog working together).

The leader would judge based off of teamwork and adaptability. Teamwork being the trainer’s ability to understand strong Pokémon may very well share the same weaknesses, and their ability to compensate for that. And adaptability being how they address the unfamiliar adversity, and being suddenly robbed of a key sense.

Noibat(0-5)

Noivern(14-18)

Cacnea(0-5)

Cacturne(10-16)

Diglet(3-10)

Dugtrio(6-15)

Ninjask(6-11)

Shedinja(6-11)

Spinarak(0-5)

Ariados(10-18)

Zubat(0-5)

Golbat(6-11)

Crobat(11-18)

Absol(14-18)

This is more or less following the badge system you had set up, with the twist of the battles being either double or triple battles.[/hider]