C# – Should the method return void or a bool to indicate it was successful

I am integrating an ERP with a 3rd party reseller.
When we finish processing orders that came from the 3rd party, we send back 2 API calls:

1. Set the status of the order to ReadyToShip whereby we pass shipment information.
2. Set the status of the order to Shipped.

I am unsure what the return type of this method should be. I am using exceptions to notify the calling code that there was a problem in setting the status of these orders. Because of this, should my method ExportShipments simply return void? Or should I not being returning void, but perhaps a bool or even a custom return object?

My code looks like this, currently using bool, however I think the use of the bool is not really doing anything here as its really never going to return false (because it will raise an exception):

    public bool ExportShipments(int iconicOrderId, string shippingProvider, string trackingNumber)
    {
        TheIconicModels.Order order = orderRepository.GetOrderById(iconicOrderId);
        bool setStatusToReadyToShipResult = true, setStatusToShippedResult = true;
        if ( order.Statuses.Status == OrderStatusConstants.PENDING)
        {
            setStatusToReadyToShipResult = orderRepository.SetStatusToReadyToShip(order, shippingProvider, trackingNumber);
        }
        if ( order.Statuses.Status == OrderStatusConstants.READY_TOS_SHIP)
        {
            setStatusToShippedResult = orderRepository.SetStatusToShipped(order);
        }

        return setStatusToReadyToShipResult && setStatusToShippedResult;
    }

    public bool SetStatusToReadyToShip(Order order, string shippingProvider, string trackingNumber)
    {
        var parameters = new List<AbstractParam>() {
            new OrderItemsParam(order),
            new ShippingProviderParam(shippingProvider),
            new TrackingNumberParam(trackingNumber),
            new DeliveryTypeParam("dropship")
        };

        TheIconicApiResult result = this.apiService.SendPostRequest("SetStatusToReadyToShip", parameters, String.Empty);
        var jsonResponse = JsonConvert.DeserializeObject<RootObject>(result.ResponseBody);

        return jsonResponse.SuccessResponse != null;
    }

I need to know if the operation was successful as at a higher level, I mark this shipment as sent.

Ideally, what should my method be returning? I'm thinking void and just catching any exceptions from a higher level but would appreciate some advice.