Currently, the only way to do this is by saving the design board as an image (jpg) and also saving the client presentation PDF (with Shop Links).
The Download Board Design (jpg) option lets you download an image in jpg format that you can add to your blog posts. You can simply find the downloaded image and upload it to your blog as shown in the sample below.
On the other hand, the Download Client Presentation (pdf) option lets you generate/download a PDF file that contains the list of products in your design. It includes the product information and shoppable links (Shop It button) for each item.
Visit the following links to learn how to download the design boards and client presentation feature: