Custom menu by category and publish date

In short, what I am trying to achieve is a custom, hierarchical menu of posts, first by category (driven by taxonomy) and then by their post_date.
I anticipate my menu looking something like this:

– Category 1
– 2011
– March
– May
– December
-2012
-January
-May
– Category 2
– 2011
– February
– April

I have the first part working, displaying a menu entry for each taxonomy type using wp_list_categories. The code is as follows:

$taxonomy = 'log-category';
$orderby = 'date';
$show_count = 1;
$pad_counts = 0;
$hierachical = 1;
$title = '';

	$cat_args = array(

		'taxonomy' => $taxonomy,
		'oderby' => $orderby,
		'show_count' => $show_count,
		'pad_counts' => $pad_counts,
		'hierachical' => $hiereachical,
		'title_li' => $title
		);
?>
<ul>
<?php wp_list_categories($cat_args);
 ?>
</ul>
</li>

My question is, how can I add the sub categories of ‘year’ and ‘month’ to my custom menu? The post_date data is inputed via the normal out-the-box metabox on the admin screen. The posts I am wishing to build the menu for are from a custom post type called ‘swp_disclosurelog’.

Thanks in anticipation of your help.