Option #1:
The creator of the formmail script (Matt) offers to run the script from their website for a monthly fee. Click here for info on this option. Allwebco does not support and has not tested this option. All support would be provided by http://www.formmail.com.
Option #2:
Remove the form area on the contact page between the "START FORM" and "END FORM" notes and just use an e-mail link on your contact page.