You could use JavaScript/jQuery to fetch those values from the input fields and write them to your review area.
I did this in the past, for a custom one page checkout, so it may require some tweaking for your needs. You just need to make this an onClick event on the continue button, if I remember what I did correctly.
function saveShipping(){
if($("billing:use_for_shipping_no").checked) {
var shippingStreet1 = $("shipping:street1").value;
var shippingStreet2 = $("shipping:street2").value;
var shippingCity = $("shipping:city").value;
var shippingPostalCode = $("shipping:postcode").value;
//lumping it into one variable for output
shippingData = $('shipping:firstname').value+' '+$('shipping:lastname').value+'<br/>'+shippingStreet1+'<br/>';
if(shippingStreet2 != "") {
shippingData += shippingStreet2+'<br/>';
}
shippingData += shippingCity+', '+$("shipping:region_id").options[$("shipping:region_id").selectedIndex].innerHTML+', '+$('shipping:country_id').value+', '+shippingPostalCode
//all data
jQuery("#shipping_data").html(shippingData);
//just the postal code
jQuery("#shipping_post_code_html_element").html(shippingPostalCode);
}
else{
//new variable
var billingPostalCode = $('billing:postcode').value;
billingData = $('billing:firstname').value+' '+$('billing:lastname').value+'<br/>'+$('billing:street1').value+'<br/>'
if($('billing:street2').value != '') {
billingData += $('billing:street2').value+'<br/>';
}
billingData +=$('billing:city').value+', '+$("billing:region_id").options[$("billing:region_id").selectedIndex].innerHTML+', '+$('billing:country_id').value+', '+$('billing:postcode').value
//all billing data
jQuery("#shipping_data").html(billingData);
//just the postal code
jQuery("#shipping_post_code_html_element").html(billingPostalCode);
}
}
Update
If you just want the postal code, the code above stores it in the variable shippingPostalCode, if they opted to use a separate shipping address, and just plucks the value from the input field if they use the same billing/shipping info. You can send just the postal code to be written the same way, like so:
function saveShipping(){
if($("billing:use_for_shipping_no").checked) {
...
//all data
jQuery("#shipping_data").html(shippingData);
//just the postal code
jQuery("#shipping_post_code_html_element").html(shippingPostalCode);
}
Just replace "shipping_post_code_html_element" with the id of the html element you're wanting to write it to.
Similarly, for the else statement (where I'm using the billing data in the case that shipping/billing are the same), I'd put the billing zip code in a variable, just to make the code look nicer, and change it to something like this:
else{
//new variable
var billingPostalCode = $('billing:postcode').value;
...
//all billing data
jQuery("#shipping_data").html(billingData);
//just the postal code
jQuery("#shipping_post_code_html_element").html(billingPostalCode);
}
I updated the code above, too, so you can just pick out the pieces you don't need.