Put the pico de gallo and balsamic vinegar in a bowl, stir until combined.
Put the sour cream, buttermilk, lime juice, and chili powder in another bowl, stir until combined.
Toss the chicken with BBQ seasoning blend, kosher salt, and pepper.
Preheat your griddle to medium heat. Add cooking oil of choice and the chicken. Cook 6 to 7 minutes, mixing a few times with spatulas. Scoot the chicken to edge of griddle, lower griddle heat to medium low and scrape griddle clean.
Add more cooking oil and lay the tortillas flat on the griddle. Add cheese to one side of each tortilla, the chicken, BBQ sauce, more cheese, and use your spatula to fold the empty side of each tortilla over the filled side.
Cook for a few minutes, flipping a few times, until cheese is melted and tortillas are crisped how you like. Serve topped with the sour cream sauce and balsamic relish over top.