I want to transfer the funds to a non EU exchange, and trade there.
Your scheme is brilliant. Are you sure your trading will be successful and you won't lose your bitcoins there

If I wanted to hide my income from the IRS, I wouldn't use centralised crypto exchanges. All your information on them is easy to verify. I've been talking to Europeans recently and they also have a developed shadow market for buying and selling cryptocurrencies both for cash and via p2p.
On the other hand if you can not show them your transaction history, they can not exclude that your crypto comes from illicit activities and they will not accept the conversion.
I think that crypto can only succeed if we don't mix Defi with CeFi.
I am hoping to pay for goods and services directly in crypto, and anonymously.