[totaltec]

Without testing, just taking a glance at the code, it looks like the template is default/en/shipping_list.tpl

In that template I see {foreach:getRates(),rate}

I believe I see this getRates() method defined in XLite\View\ShippingList.php

There may be a more elegant solution, but my starting point would be to attempt to expand the logic of this getRates() method. Right now it is a simple return, we could start modifying it like this (psuedocode warning):

    protected function getRates()
    {
        $rates = $this->getModifier()->getRates();
        $modified_rates = array();
        foreach ($rates as $rate) {
            if ($rate *meets condition*) {
                 $modified_rates[] = $rate;
            }
        }
        return $modified_rates;
    }

Again, this is just a quick look, not sure if these files or methods are even related to your task!

-Mike