Under the ideal usage of Bitcoin (with Tor, mixed coins etc), you could basically say that you own an "anonymous BTC". The ledger may be public, but if you've been under an anonymous identity the entire time then it's useless really. But a very little mistake could cost your entire effort of protecting your identity revealing everything, of course. 
It's a matter of terms usage. After all, pseudonymous != anonymous. It's not really a problem as I think most people get what OP really wanna do.
OP, there's a guide by theymos if you need more alternative & info: https://bitcointalk.org/index.php?topic=5146241.0.