Slice the cucumbers and onions then cut up the tomatoes.
Combine the marinade ingredients and whisk to dissolve the salt.
Pour the marinade over the salad, mix, cover and refrigerate for 2 hours.
Start the grill (500 degrees F for an indirect heat grill).
Coat the doves with butter and season all over with salt and pepper. Sprinkle with paprika.
Grill for 9 to 10 minutes.
Slice fresh basil and sprinkle over the salad.