Then you would need to buy wahtever coin (I recommend litecoin since fees are low there and isn't as regulated), swap it to monero, make a transaction from one wallet to another (in monero) and swap it again to USDT. That should erase you from the coins. 

Additionally you could make the second swap in 2 parts since having two swaps with similar amount in fiat could still be traceable to you. You could even do it to two different wallets from two different VPN connections to completely erase the path. But those are for the really paranoid.

I can't assure you that the glowies won't knock on you door but that is a method. 

Alternatively cash by mail exists.