And it seems that they've even given up on their super-secure shtml pages: http://www.usatap.org/orderstandard.htm still requires your CC info. But never worry:
<font face="arial, Arial, Helvetica"><font size="3">Your order is processed through a secure server and your can safely use this form.And if all else fails
What some people do is double-check their card info and email the correct info to our Registrar (main staff email address here. Feel free to do this in a couple different emails for safety.</font></font>