For aesthetic and ease-of-use purposes, I'd like to use WordPress as my blogging platform.
For SEO purposes, I'd like the blog to reside in a subdirectory (eg myshop.com/blog)
I'd also like the Shopify store to be able to display snippets from the blog on myshop.com
If I use the integrate wordpress tool, it looks like I can get all of the above except display the blog using Wordpress theme (ie, the blog gets "pulled into" the Shopify theme/aesthetics)
Is there any way to get the Wordpress theme as well?
You cannot use WordPress inside Shopify.
blog.myshop.com <==== CAN BE WORDPRESS
You can Theme Shopify to look like your WordPress blog.
Please check out my StoryBook ‑ WP Blog Connector app here: https://apps.shopify.com/storybook-wp-blog-connector
The app acts as a proxy, it connects your WordPress blog with your Shopify store. All WordPress posts/categories/tags and such are instantly available within your store.
You will find most of the WordPress features available, more we implement server-side caching under the hood, there is a good chance that your Shopify blog is way faster than your original WordPress blog.