For the chicken: Combine the ingredients in a medium bowl. Cover and let rest on the counter to bring the chicken to room temperature (no more than 30 minutes).
Heat a dry skillet over medium-high heat until it is very hot. Place the chicken pieces, top side down, in the skillet and let them blacken for 2 minutes. Turn them over, reduce the heat to low and cover. Cook the chicken for 5 to 7 minutes. Remove the skillet from the heat, cover still on, and let the chicken rest for at least 10 minutes. Transfer the chicken to a large bowl. Strain the pan drippings into a cup, discarding the fat. When the chicken has cooled, slice it into 1/2-inch strips, place them in a bowl and pour the drippings over them. Cover and set aside.
For the slaw: Combine the ingredients in a large resealable plastic food storage bag. Toss to combine them well and refrigerate until ready to use.
To assemble: "Grill" each tortilla over a medium flame for a few seconds on each side. Place each one on a dinner plate. Line a quarter of the chicken slices a third of the way down from the side of the tortilla. Top with avocado slices; 1/4 cup of slaw (allow juices to strain off before adding); a spoonful of salsa (again, allow juices to strain off before adding), if desired; and a few drops of chipotle-flavored hot pepper sauce, if desired. Roll the tortillas up and serve.