Completely untested!

reverse-post-order.php

<?php
add_action( 'pre_get_posts', 'prefix_reverse_post_order' );
/**
 * Reverse Post Order for Post Archives on the Genesis Framework
 *
 * @author FAT Media
 * @link http://youneedfat.com/reverse-post-order-genesis-framework/
 * @param object $query data
 *
 */
function prefix_reverse_post_order( $query ) {
	if ( is_admin() )
		return;

	// Make sure we only change the query for post archives
	if ( $query->is_main_query() && ( is_home() || is_post_type_archive( 'post' ) ) )
		$query->set( 'order', 'ASC' );

	// This will affect each and every usage of the Blog page template!
	if ( is_page_template( 'page_blog.php' ) )
		add_filter( 'genesis_custom_loop_args', 'prefix_filter_genesis_query_args_field' );
}

/**
 * Filter custom loop args.
 *
 * Since this is only kicked in when the page template is the Blog template, we know we're not affecting every other
 * custom loop.
 *
 * @param  array $args All of the custom loop arguments.
 *
 * @return array
 */
function prefix_filter_genesis_query_args_field( array $args ) {
	$args['order'] = 'ASC';
	return $args;
}