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What partial pre-image? I assume the message being hashed is "Transfer THIS domain to THAT public key." (with probably a timestamp thrown in there that can't be too far ahead or behind current network time and, of course, a long nonce)
I imagine the hash-for-hire services would just ask their clients for the public key; I know I wouldn't want a hash-for-hire service to have access to my site's private key, they could sell it out from under me!
RE: a personal website or small domain being evicted: yep. You should offer to sell out for a couple bitcoins less than it will cost that big, evil corporation to find an eviction hash so at least you get compensated. There's very little difference between "legitimate little guy who's last name happens to be Ford" and "domain squatter."