using JS (although you don't want it) to track mouse move, key press, mouse click
getting the referral url (which in this case should be one from the same domain) ... the normal user must navigate through the website before reaching the contact form: PHP: How to get referrer URL?
using a $_SESSION variable to acquire the IP and check the form submit against that list of IPs
Fill in one text field with some dummy text that you can check on server side if it had been overwritten