This was something I was also looking to do. I am jumping ship from Wix after they raised the prices on my plan by giving me "features" I don't need for my business. But I definitely need an online storefront and a blog - I was hoping to be able to do both through Weebly.
I'm going to try creating a secondary Weebly page just for a blog - and then linking it "externally" but having it in the main navigation header for my shop site. I'm just not sure this is the route I want to go since I really want to be able to use the blog to drive traffic to my store. I may need to use a different storefront service after all. 
