Below is the code for what I did — it seems to work. Please let me know if there are problems with my solution.
This is at the top of process.php (actually process-file-uploads.php):
if (isset($_POST['type_the_word'])) $_POST['type_the_word'] = strtoupper( str_replace(' ', '', $_POST['type_the_word']));
The form is in action at: http://mykindred.com/cloud/TX/Documents/BeaElizabethDaltonHoax/ under the Contact link and the phrase is “DALTON HOAX” — I wanted people to be able to type “daltonhoax” or “dalton hoax” and have it work and it seems to work okay with the above code.