Conditionally remove the Genesis post info section from a single blog category on both single entries and archive pages.

remove-genesis-post-info-category.php

<?php
/**
* Remove the post info on a Genesis xHTML theme
* in a single category that you specify.
*
* @author     FAT Media <http://youneedfat.com>
* @copyright  Copyright (c) 2013, FAT Media, LLC
* @license    GPL-2.0+
*/

add_action( 'genesis_before_loop', 'prefix_maybe_remove_post_info' );
function prefix_maybe_remove_post_info() {
  if ( in_category( 'Your Category' ) || is_category( 'Your Category' ) ) {
		//* Remove the post info function
		remove_action( 'genesis_before_post_content', 'genesis_post_info' );
	}
}