Will your bank allow you to open a USD account?
If so, you could transfer the funds between the two accounts (possibly using the spot rate), and then wire the USD directly from your USD account.
It's normally possible to open an account denominated in a foreign currency - alternately, find a nice offshore account where you can send your money, and do the wires/exchanges etc from there - they may give you a better rate, and you get the option of building up a nice tax free nest-egg too.
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