Ok, I got this to work. My code was actually working, I just was not able to pull in the parameter the way I originally wanted (or thought that I could). What I did was pass the Post ID parameter through the URL and then pull that parameter into my style template. Here is what I did in case it helps anyone in the future:
I passed the Post ID into the url (I.E. http://www.mysite.com/processform/?postid=1234).
I added this to my style template:
<?php
$url = "http://$_SERVER[HTTP_HOST]$_SERVER[REQUEST_URI]" ;
$parts = parse_url($url);
parse_str($parts['query'], $query);
$mypostid = $query['postid'];
?>
and this is how my repeater fields looked:
<?php if(get_field('choice_menu', $mypostid)): $i = 0;?>
<?php while(has_sub_field('choice_menu', $mypostid)): $i++;?>
<p><?php the_sub_field('choice_name'); ?> : $check<?php echo $i; ?></p>
<?php endwhile; ?>
<?php endif; ?>
