Set lunches, even at good Chinese restaurants, can be mediocre. In the past, there were some unusual options on the lunch menu at Dumpling House, including stinky tofu, but they may perhaps have “standardized” their options more recently.
Cilantro, before you get to DH, has some not-too-bad lunch options.
Santouka is well worth a try. I’ve had satisfactory lunches there (not just ramen) on multiple occasions.