Combine Genesis with Bootstrap, use Genesis filters to add Bootstrap divs and classes while retaining the framework base. Credits: https://teamtreehouse.com/community/bootstrap-or-genesis

genesis-bootstrap.php

<?php
//* Add Bootstrap container class to header
function my_site_bootstrap_header( $attributes ) {
  $attributes['class'] = $attributes['class']. ' container-fluid';
    return $attributes;
}
add_filter( 'genesis_attr_site-header', 'my_site_bootstrap_header' );

//* Add Bootstrap container wrap around page content
function my_site_start_page_container(){ echo '<div id="page-container" class="container-fluid"><div class="row">'; };
function my_site_end_page_container(){ echo '</div><!-- /.row --></div><!-- /.container -->'; };
add_action('genesis_after_header','my_site_start_page_container',20);
add_action('genesis_before_footer','my_site_end_page_container');

//* Add Bootstrap container wrap around footer
function my_site_start_footer_container(){ echo '<div id="footer-container" class="container-fluid"><div class="row">'; };
function my_site_end_footer_container(){ echo '</div><!-- /.row --></div><!-- /.container -->'; };
add_action('genesis_footer','my_site_start_footer_container',0);
add_action('genesis_after_footer','my_site_end_footer_container');

//* Add more structural wraps
function my_site_start_wraps(){ ?>
    <div id="outer-wrap">
        <div id="inner-wrap">
<?php }
add_action('genesis_before','my_site_start_wraps');

//* End structural wraps
function my_site_end_wraps(){ ?>
        </div>
    </div>
<?php }
add_action('genesis_after','my_site_end_wraps');

//* Add inner wrap
function my_site_start_inner_wrap(){ ?>
    <div class="site-inner-wrap">
<?php }
add_action('genesis_after_header','my_site_start_inner_wrap');

//* End inner wrap
function my_site_end_inner_wrap(){ ?>
    </div>
<?php }
add_action('genesis_footer','my_site_end_inner_wrap');

//* Add Bootsrap columns to page content
function my_site_bootstrap_content( $attributes ) {
    $layout = genesis_site_layout();
    if($layout == "content-sidebar"){
        $attributes['class'] = $attributes['class']. ' col-xs-12 col-sm-8';
    }
    else if($layout == "full-width-content"){
        $attributes['class'] = $attributes['class']. ' col-xs-12';
    }
    return $attributes;
}
add_filter( 'genesis_attr_content', 'my_site_bootstrap_content' );

//*Add Bootsrap columns to sidebar content
function my_site_bootstrap_sidebar( $attributes ) {
  $attributes['class'] = $attributes['class']. ' col-xs-12 col-sm-4';
    return $attributes;
}
add_filter( 'genesis_attr_sidebar-primary', 'my_site_bootstrap_sidebar' );