Including Custom Post Type posts in a page template contextually (or should I widget?)

Custom Archive Page

What you’re describing is a custom archive page.

https://www.google.com/search?q=custom+archive+page

https://codex.wordpress.org/Creating_an_Archive_Index

Child Theme

Forget widgetised areas. They’re not necessary based on what you described. Simply fork (copy and manipulate) your archives template page by using using a child theme rather than directly editing the parent theme (edits won’t survive theme updates).

https://codex.wordpress.org/Child_Themes

Featured Posts

Ensure your site easily handles featured posts:

https://wordpress.org/plugins/featured-post/

http://designcoral.com/wordpress/free-featured-post-widgets-for-wordpress/

Constrain by Category

E.g. Communications

Finally, constrain your post loop by category:

https://www.google.com/search?q=wordpress+list+posts+by+category