I don't have any products currently and I don’t want to work with dropshipping sites at this moment. Is there another solution?

You can deal with any merchant in your country and take products at wholesale price and agree with him to take a product according to your request.

Thus, you can add products in your own store. When a customer requests an order on your store, you can buy it from the merchant and send it to your customer in any shipping way that suits with you.