WooCommerce股票报告 - 添加“按产品过滤”功能

I am currently contemplating how to filter/search WooCommerce stock reports by product. I was thinking of adding an input box, like so:

and use it to reduce the number of Products shown in the list below.

Ideally, I'd like to use Javascript in order to make the filtering user-friendly. Using the WooCommerce API to create a whole new report page seems like overkill for such a small matter. So I thought, if I just made WooCommerce output all products in its stock reports, I could grab them afterwards and filter them with JS. That is where I am stuck since WooCommerce creates the report pages inside the WC_Report_Stock class. To be exact, it's preparing the output in the prepare_items method and sets the number of pages displayed to 20:

public function prepare_items() {

    $this->_column_headers = array( $this->get_columns(), array(), $this->get_sortable_columns() );
    $current_page          = absint( $this->get_pagenum() );
    $per_page              = apply_filters( 'woocommerce_admin_stock_report_products_per_page', 20 );

    $this->get_items( $current_page, $per_page );

    /**
     * Pagination.
     */
    $this->set_pagination_args( array(
        'total_items' => $this->max_items,
        'per_page'    => $per_page,
        'total_pages' => ceil( $this->max_items / $per_page ),
    ) );
}

Since I don't want to change the Plugin Code, I am unsure of how to proceed and would hope for someone to point me in the right direction.