UPDATE: I have determined the answer to the first half of the question. Will document in comments, and will create a separate question for the randomizer issue.

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For the blog whose slug is "blog" I'm successful with theming like this:

{% for post in page.blog.most_recent_blog_posts limit:5 offset:1 %}

{{ post.published_at | date: '%b %d' }}

{{ post.headline }}

{% endfor %}

But what if we have a second blog whose slug is "recipes?" How do we pull most recent posts from there? (I also want to randomize the selected blog posts.) 

So, seeking assistance on both fronts: accessing most_recent_blog_posts for multiple blogs, and randomizing their display (which I imagine will be done with jquery.)