Begin by braising the chicken: Season the chicken on both sides with the salt and pepper. Heat the oil in a Dutch oven on medium heat. Then, brown the chicken lightly, on both sides, in several batches. When all the chicken is browned, add it back to the pot, with all the other ingredients. Simmer this, covered, for 50 minutes.
While the chicken simmers, make the Honey Barbecue Sauce: Melt the butter in a three-quart saucepan and cook the onion and garlic until softened. Then, add the rest of the ingredients, and simmer for thirty minutes, uncovered.
Also, make the Strawberry Salsa: Simply combine all the ingredients together in a bowl.
Remove the chicken to a plate and shred it with two forks. Add it to the barbecue sauce.
In a cast iron skillet, on medium heat, toast each tortilla on both sides. Fill each tortilla with some chicken. And top the chicken with the salsa and avocado.