Yes, I have failed as a moderator! I don't like deleting comments, but it is important to keep the thread on topic. This thread is about using out-of-band transactions and large mining fees to untaint coins.
Edit: I just deleted a post from AnonyMint, but then it hit me that with a slight twist it was actually on topic and a good idea (now I've really failed as a moderator lol).
Instead of sending the tainted coins with a large mining fee using a non-public backchannel, just send the coins normally to the untainting service. They would then perform the large-mining fee transaction themselves. The fee they charge for the service would already take into account the expected loss to the orphaning. In other words, you are exchanging old coins from the miner for newly-created coins (at a small fee). The miner doesn't care about taint because the chain of taint breaks using the large-mining-fee method that I proposed earlier.
And who took it off topic? (look in the mirror)
Then you did exactly what you were writing you weren't going to do (delete my post)
You change the facts as fits to your errors and necessary covering of your arse.