Searched to no avail: how to transfer small amounts (0.1 BTC) between two accounts anonymously?

Have an account in my real name and would like to transfer some money to another account anonymously (in Sheep market). Looked at blockchain shared send but it says there's a minimum of 0.2 BTC; also looked at bitcoin fog, but it has a minimum of 0.3 BTC.

What are my options? I'd rather not deposit more money just to transfer over the small amount I need...

I heard that Sheep tumbles the coins but even then it's not great because it would be clear that I had spent money in the sheep mktplace even if a particular purchase couldn't be tracked to me.


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