> and included links to a clearnet website for BITCOIN FOG (www.bitcoinfog.com), the Tor onion site (http://foggeddriztrcar2.onion), and a Twitter feed for updates on the site (www.twitter.com/#!/@Bitcoinfog)

This is how many illegal services get decloaked. They have a clearnet domain, but ironically a darknet .onion too which is what they should just have, not a clearnet domain (if what you're doing is illegal or operates in a legal grey area). I am aware it's possible to get a clearnet domain anonymously with services like NJALLA[0], but you have to take extra special care, pay with crypto, do everything over Tor, use XMPP w/OTR etc

[0] https://njal.la/