Thank you! I think I found another way, I'm posting it here for reference and hoping it will be useful to someone else. (Thanks to perishablepress.com for the loop template)
Since I also wanted to have more control over the style and the appearance of those posts, I made a page called Press and applied this custom page template to it.
In the example is just a very basic loop + the query_posts function (set to display my custom-post-type posts only) but you can start from it and style it any way you want.
Template Name: PostsOfPress
if (have_posts()) : ?>
<p>Display any code output from this region above the entire set of posts. This text is generated only if there are posts.</p>
<?php while (have_posts()) : the_post(); ?>
<! loop through posts and process each according to the code specified here >
<h2><a href="<?php the_permalink() ?>"><?php the_title(); ?></a></h2>
<?php the_content(); ?>
<?php endwhile; ?>
<p>Stop the post loop and process any code included here only once. This text is generated only if there are posts. Any code included in this part of the document is processed only once.</p>
<?php else : ?>
<p>If you are seeing this message, there are no posts to process/display. Any code included in this part of the document is processed only once.</p>
<?php endif; ?>
<?php get_footer(); ?>