Payment recommendation for membership site

[tech2]

I've been having a very difficult time try to get an account registered with a membership site using an unverified prepaid card.  I want to do this with anonymous payment method for reasons of privacy.  They only take regular cc's and PayPal. 

Guess that prepaid cards don't work with recurring charge payments, no AVS, etc.  Any ideas or suggestions?  Gotta get this done soon -- been wasting too much time already spinning my wheels looking for a solution...