Heat the grill to medium-high. In a large shallow bowl or platter, sprinkle the kale with a pinch each of salt and pepper. Squeeze with your hands until shiny and softened. Add the romaine and cilantro and toss to coat. Set aside.
In a small bowl, stir together the barbecue sauce and lime juice. Season to taste with salt and pepper.
In a separate small bowl, stir together the beans and 2 tablespoons of the barbecue-lime mixture.
On a sheet pan or large bowl, toss the peaches, onion and vegetables with enough oil to coat. Season with salt and pepper.
Clean and grease the grates. Grill the peaches and vegetables until charred and tender, 2 to 10 minutes, depending on the density and size of the vegetables. If using a gas grill, close the grill between flips. Return to the bowl or sheet pan and head back inside.
Drizzle some of the dressing over the greens, then arrange the grilled vegetables, peaches, beans and chips on top. Drizzle with more dressing. Eat right away, with any remaining dressing and additional chips alongside.
Note from recipe tester:
This was a huge hit at a recent cookout. One suggested adjustment, reverse the proportions of the dressing/drizzle to be ¾ lime and ¼ bbq sauce if you have thick bottled sauce. The proportions called for in the recipe overwhelmed the flavor with bbq. I remade this with leftover veggies and when I switched out as above it was bright and tangy, just a bit of the bbq.
