To successfully drop ship with longer shipping times and minimum order quantities, you can consider the following strategies:

1. Find suppliers with shorter shipping times: Look for suppliers who offer faster shipping options or have warehouses located closer to your target market. This can help reduce shipping times and improve customer satisfaction. You can search for local suppliers or use supplier directories like Alibaba or AliExpress to find suppliers who offer faster shipping options.

2. Offer unique or niche products: Instead of selling common items like dog toys, consider offering unique or specialized products that are not easily found locally. This can attract customers who are willing to wait for shipping or buy in larger quantities. For example, you could focus on selling customized or eco-friendly dog toys, which may have a smaller target audience but higher demand.

3. Bundle products: Instead of selling individual dog toys, bundle them with other related products to increase the order value. For instance, you could create a bundle with dog toys, treats, and grooming products. This way, customers may be more willing to buy in larger quantities to take advantage of the bundled deal.

4. Utilize pre-order campaigns: If you're confident in the demand for a particular product, you can run pre-order campaigns to gauge interest and collect orders before placing a bulk order with the supplier. This allows you to fulfill the orders in a timely manner and avoid holding excess inventory.

5. Negotiate with suppliers: If you find a supplier with a minimum order quantity that is too high, try negotiating with them to lower the quantity. Some suppliers may be willing to reduce the minimum order quantity for drop shippers or offer discounts based on the volume of orders you can generate.

6. Use multiple suppliers: Instead of relying on a single supplier, work with multiple suppliers who offer different products or variations. This way, you can offer a wider range of products, reduce shipping times by sourcing from different locations, and potentially lower the minimum order quantities.

Remember, drop shipping is a business model that requires careful planning, research, and continuous adaptation. It's important to thoroughly evaluate suppliers, products, and market demand to ensure success.