Arrange the goats' cheese in a shallow ceramic dish. Combine the oil, herbs, chilli, lime rind and some salt and pepper and pour over the cheese. Leave to marinate for 1 hour.
Place the pitta breads on a board. Brush the tops with oil and season with the zumac, salt and pepper. Toast, spice side up, on a hot barbecue for 1 minute, then flip and cook the spiced side for 1 minute until crisp.
Cut the bread into wedges and serve with the goats' cheese and its marinade.