add_filter('woocommerce_email_recipient_new_order', 'bdev_order_email_recipient_based_on_shipping', 1, 2);
function bdev_order_email_recipient_based_on_shipping( $recipient, $order )   {
  $shipping_method = $order->get_shipping_method();
  switch( $shipping_method ){
    case 'local_pickup':
      $recipient = "firstname.surname1@mail.com";
      break;
    case 'free_shipping':
      $recipient = "firstname.surname2@mail.com";
      break;
    default:
      $recipient = "firstname.surname3@mail.com";
}
return $recipient;
}