Thanks for your explanation. I got it almost working.
I replaced
echo $this->currencyHelper->format($shipping_price, hikashop_getCurrency());
with
$currency = $this->currencyHelper->get(hikashop_getCurrency());
echo '<div style="float:left;">'.$currency->currency_symbol.'</div>';
echo '<div style="float:right;">'.$shipping_price.'</div>';
Alignment is OK now, only thing missing is ,00: Shipping costs should be 15,00 but it only puts 15 on the screen.
Any idea how to solve this? I tried some things, but it became clear I'm not a PHP developer