functions.php

<?php

/**
 * Load a different sidebar
 *
 */
function be_different_sidebar() {
  // Remove current sidebar
  remove_action( 'genesis_sidebar', 'genesis_do_sidebar' );
  remove_action( 'genesis_sidebar', 'ss_do_sidebar' );
  
  // Load my sidebar
  dynamic_sidebar( 'different-sidebar' );
}
add_action( 'genesis_sidebar', 'be_different_sidebar', 5 );