2. Use the credit card to buy hosting with whomever you wish to use.
3. Enjoy your anonymity.
I realize it may be possible for law enforcement to find you through tracking down the location the card was purchased at but in reality no one else can find who you are. Even then you could go out of your way to purchase the card outside your home area at a grocery store since they often have minimal / poor camera coverage.
Edit - Responses to some of the comments:
In the USA SSNs are only required for customized reloadable cards with your name on them which is obviously not the type you'd want.
As for AVS / name verification, most prepaid cards now have websites which allow you to set a name and address for use online. Others will pass AVS checks with any address. The packaging will often say if they can be used for online purchases.