agentpress-featured-listings-loop-filter.php

// This snippet goes in functions.php
add_filter('agentpress_featured_listings_widget_loop', 'child_ap_listings_loop_filter', 10, 1 );
/**
 * Adds some additional button classes to the more link
 *
 * These button classes are already defined in the theme
 * style.css file. Adding them to the listing wrap "more link"
 * will give the "View Listing" buttons styling that is
 * consistent with the theme.
 */
function child_ap_listings_loop_filter($loop) {
    return str_replace('more-link', 'btn btn-primary more-link', $loop);
}

agentpress.css

/* AgentPress Listings - General
------------------------------------------------------------ */

.single-listing .post-info,
.single-listing .post-meta {
    display: none;
}

.sidebar .property-search {
	background: transparent;
}

.single-listing .entry-content h4 {
	font-size: 24px;
	margin-bottom: 15px;
}


/* AgentPress Listings - Property Listings
------------------------------------------------------------ */

.property-details {
	background-color: #f5f5f5;
	overflow: hidden;
	margin: 0 0 30px;
	padding: 15px 20px 0;
}

.property-details-col1,
.property-details-col2 {
	float: left;
	margin: 0;
	padding: 0 0 15px;
	width: 50%;
}

.single-listing .entry-content iframe {
	margin: 0 0 30px;
}


/* AgentPress Listings - Featured Listings
------------------------------------------------------------ */

.listing-wrap {
	float: left;
	font-size: 12px;
	margin: 0 30px 45px 0;
	position: relative;
	width: 290px;
}

.post-type-archive-listing .listing-wrap {
	width: auto;
	margin: 20px 0;
}

.post-type-archive-listing .listing-wrap a img {
	width: auto;
}

.listing-wrap a img {
	margin: 0 0 10px;
	padding: 4px;
	background: #fff;
	border: 1px solid #959595;
}

.widget.featured-listings .listing-wrap a img {
	width: 280px;
}

.listing-price {
	background: #000;
	background: rgba(0,0,0,0.80);
	clear: both;
	color: #fff;
	font-size: 16px;
	left: 5px;
	padding: 10px;
	position: absolute;
	top: 5px;
}

.listing-text {
	background: #fff;
	clear: both;
	font-size: 12px;
	padding: 5px 10px;
	position: absolute;
	right: 5px;
	top: 5px;
}

.post-type-archive-listing .listing-text {
	right: -5px;
}

.listing-address,
.listing-city-state-zip {
	display: block;
	font-size: 14px;
	line-height: 14px;
	margin: 0 0 5px;
	padding: 0;
	text-align: center;
	text-transform: uppercase;
}

.listing-city-state-zip {
	margin: 0 0 10px;
}

.listing-wrap .more-link {
	margin: 0 auto;
	display: block;
	width: 80px;
}

archive-listing.php

<?php
/**
 * The 'listing' custom post type archive template
 *
 * This file goes inside your theme folder
 */

/**
 * Force full width layout
 */
add_filter( 'genesis_pre_get_option_site_layout', '__genesis_return_full_width_content' );

/**
 * Remove the standard loop
 */
remove_action( 'genesis_loop', 'genesis_do_loop' );

add_action( 'genesis_loop', 'child_listing_archive_loop' );
/**
 * Custom loop for listing archive page
 */
function child_listing_archive_loop() {

	$count = 0;
	
	if ( have_posts() ) : while ( have_posts() ) : the_post();
	
		$count++;

		$loop = ''; // init
			
		$loop .= sprintf( '<a href="%s">%s</a>', get_permalink(), genesis_get_image( array( 'size' => 'properties' ) ) );
		$loop .= sprintf( '<span class="listing-price">%s</span>', genesis_get_custom_field( '_listing_price' ) );

		if ( genesis_get_custom_field('_listing_text') ) {
			$loop .= sprintf( '<span class="listing-text">%s</span>', genesis_get_custom_field( '_listing_text' ) );
		}
		
		$loop .= sprintf( '<span class="listing-address">%s</span>', genesis_get_custom_field( '_listing_address' ) );
		$loop .= sprintf( '<span class="listing-city-state-zip">%s, %s %s</span>', genesis_get_custom_field( '_listing_city' ), genesis_get_custom_field( '_listing_state' ), genesis_get_custom_field('_listing_zip' ) );
		$loop .= sprintf( '<a href="%s" class="more-link btn btn-primary">%s</a>', get_permalink(), __( 'View Listing', 'agentpress' ) );

		$class = $count % 4 == 0 || $count == 1 ? 'first one-third' : 'one-third';
	
		/** wrap in post class div, and output **/
		printf( '<div class="%s"><div class="widget-wrap"><div class="listing-wrap">%s</div></div></div>', join( ' ', get_post_class( $class ) ), $loop );
		
	endwhile; endif;
	
}

genesis();

@jtallant you're the only person I've found who has been able to rewrite the AgentPress listings taxonomy.php page with any amount of authority or success. However, I noticed that the 7th listing (on my AgentPress install) is output with the wrong class name and sits on a row by itself. I've also failed at many attempts to sort listings by title or exceed the transparent cap of 10 listings per term page. Any insight into that?