Do check in from your private island after you finish doing so, since the next transaction on the blockchain you will brute force is presumably this one:
http://www.coindesk.com/194993-btc-transaction-147m-mystery-...
Being more serious, it should be emphasized that you're not by any means brute forcing Bitcoin transactions when you're doing this. He's just using a clever technique composed of crypto hash chains to hide a Bitcoin private key. It just happens to use the same SHA256 algo as Bitcoin mining does.
A Bitcoin (ECDSA) private address is a 256-bit binary blob: priv_key
The corresponding ECDSA public key is either represented as <x><y> (curve coordinates, "uncompressed format") or <sign><y> ("compressed format"): pub_key
A Bitcoin address (eg. 1BGbGFBhsXYq6kTyjSC9AHRe1dhe76tD6i) is basically: base58(RIPEMD160(SHA256(pub_key))), plus a version byte, plus a 16-bit checksum
So the "secret" is: SHA256(pub_key) And the "hashed_secret" is: RIPEMD160(SHA256(pub_key))
Also, can you clarify the process a bit after arriving at the secret? That was a bit confusing, what with the public ECDSA key, the wallet address, and the multiple secrets.