If you don’t have static front page
Since you can add a custom post type archive, then just specify post_type=post.
If you have static front page
Go to Settings -> Reading and specify posts page you’ve created as Posts page from dropdown. Now all necessary classes will be added to Nav Menu — current-menu-item, current-menu-parent, current_page_item, current_page_parent among others.
Be sure to create custom template for this page. Otherwise it will utilize page.php template file. You can alter a copy of category.php.