Custom Post Type and Taxonomies: getting slug?

I’m doing a site for a wine importer.

I’ve set up two custom post types: WINES and VINEYARDS.
The wines have a taxonomy of WINERY, which corresponds to the VINEYARDS post type.

So I want the VINEYARDS page to have a list of wines they produce, pulled from the taxonomy WINERY.

Here’s the code that does that (except for the problem line: “VINEYARD-NAME-HERE” SHOULD be the slug):

<ul>
<?php
$args = array(
    'post_type' => 'wines',
    'winery' => 'VINEYARD-NAME-HERE'
    );
 $lastposts = get_posts($args);
 foreach($lastposts as $post) :
    setup_postdata($post);
 ?>
 <li><a href="<?php the_permalink(); ?>" id="post-<?php the_ID(); ?>"><?php the_title(); ?></a></li>

 <?php endforeach; ?>
</ul>

That works fine except of course, I’m hand-coding the “vineyard-name” slug and building a new page template for each vineyard. Address of the vineyard page is like this:
/vineyards/vineyard-name-here/

I’m sure there’s an easier way. Care to help?

I’ve set up post types and taxonomies with the Custom Post Types UI Plugin, if that makes any difference.

Thanks in advance.