Heat your grill on high for at least 10 minutes, then reduce to medium-high.
Drizzle oil onto the zucchini and sprinkle with some salt. Rub around to coat the inside and outside. Place them on the grill, cut-side-down, then cover and grill for 10 minutes or until you have nice grill marks.
Meanwhile, in a medium bowl whisk together the oil, vinegar or lemon, garlic, and salt. Add the parsley, beans, and cheese and stir to mix everything together until it's well mixed and beans are coated in the cheese..
Transfer the zucchini to a cutting board, cut-side-up, and stuff with the bean mixture (you may have some beans leftover depending on size of zucchini). Use your hands to gently press the filling into a more compact layer.
Return to the grill (cut-side-up), turn the heat down to medium, then cover and grill for 10 more minutes, or until the zucchini is tender and the cheese is melty.
Serve topped with a drizzle of honey and black pepper.