It looks like I was wrong about this. Will multiple datacenters allow you to continue setting up new accounts using nothing but bitcoin? If you don't need to provide identification, then this might be an interesting avenue to explore. Thank you for fact checking me.
There's the chance that datacenters will be more inclined to image your server for authorities if you've set up a server using bitcoin and are hosting large amounts of Tor traffic, but at this point we must assume authorities will image your server anyway, so there's no reason not to go this route if it's as good as you say.
You may need anonymous money for other things, but server rental was the primary case I had in mind.
There's the chance that datacenters will be more inclined to image your server for authorities if you've set up a server using bitcoin and are hosting large amounts of Tor traffic, but at this point we must assume authorities will image your server anyway, so there's no reason not to go this route if it's as good as you say.
You may need anonymous money for other things, but server rental was the primary case I had in mind.