Mix the chipotles, pickle and pepperoncini juices, garlic, honey, mustard and salt and pepper in a food processor until smooth. Take about 1/2 cup of it and mix it with the mayo. Set aside in the fridge. Take the rest and pour it over the chicken. Set aside in the fridge to marinade for 1 - 2 hours but not much longer than that.
Meanwhile, mix the slaw ingredients. Season with salt and pepper and the lime juice and set aside in the fridge.
Add the egg to the chicken and mix well to combine. Pour off excess liquid. Add the chips to the chicken and stir to coat. Place the chicken on a plate or rack, pressing the topping into the chicken to make sure it is stuck well. Allow to sit for 10 minutes to help the chips stick.
Preheat the grill and grill the chicken about 6 minutes per side until browned and cooked through. Make sure the grill is well oiled to prevent sticking, and be gentle when flipping the chicken.
Toast the buns if needed. Start with some of the mayo on the bottom bun then add the pickles. Top with the chicken, then some slaw, then more mayo, then the top bun.