Preheat a grill for cooking over medium-high heat.
Add the squash to a bowl and drizzle with the olive oil. Sprinkle with some salt and pepper and toss to coat.
Grill the squash until tender and nice grill marks appear, 4 to 5 minutes per side. Transfer to a platter and drizzle with the Chow-Chow Chimichurri.
Preheat a grill for cooking over medium-high heat. Grill the tomato slices, until nice grill and char marks appear, 3 to 4 minutes per side. Let cool enough to handle, then chop.
Combine the olive oil, vinegar, lemon juice, basil, herbs and red pepper flakes in a medium bowl and whisk to combine. Add the chopped green tomato and stir to incorporate. Season to taste with salt and pepper.