In a medium bowl, add the drained black beans, cumin, oregano, lime juice, and hot sauce.
Using a fork or potato masher, mash the mixture until the beans are mostly broken down but still have some texture.
Gently fold the cooked barley into the mashed black bean mixture until well combined.
To assemble the salads, divide the shredded iceberg lettuce between two large bowls or plates.
Spoon the black bean and barley mixture evenly over the lettuce.
Top each salad with salsa and a generous sprinkle of crumbled tortilla chips.
Drizzle with the vegan Italian dressing and serve immediately for the best crunch.