Your best bet is to use the bcn_after_fill action to selectively remove the home breadcrumb from the trail. This article provides an example on how to do this: https://mtekk.us/archives/guides/conditionally-remove-home/ You should just need to change the conditional from is_page() to the appropriate woocommerce conditional (I assume there is something like is_woocommerce() or something like that)
The code below is the solution.
Second part adds Shop / to the search page
//Removes Home from Woocommerce
add_action('bcn_after_fill', 'foo_pop');
function foo_pop($trail)
{
if(is_woocommerce()|| is_cart() || is_checkout() || is_account_page() )
{
array_pop($trail->breadcrumbs);
}
}
//Add's shop to Woocommerce search page's.
add_action('bcn_after_fill', 'my_static_breadcrumb_adder');
function my_static_breadcrumb_adder($breadcrumb_trail)
{
if( is_search() && is_shop())
{
$breadcrumb_trail->add(new bcn_breadcrumb('SHOP_BREADCRUMB_TEXT', NULL, array('home'), 'SHOP_URL', NULL, true));
}
}
