I can’t remember if I searched or Google decided I needed to know, but I saw the website of Gyopo Soju, the first Australian-made soju, which I haven’t tried yet, so I can’t recommend or not. While gyopo (교포) usually refers to Koreans living in other countries, I think they’ve missed the chance to call themselves and their product 호주 소주.
Never Pure and Rarely Simple
Random thoughts about language, life, the universe and everything
Never Pure and Rarely Simple 
Since the Wikipedia entry for “Korean diaspora” that you linked to contains this passage:
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The historically used term gyopo (교포/僑胞, also spelled kyopo, meaning “nationals”) has come to have negative connotations as referring to people who, as a result of living as sojourners outside the “home country”, have lost touch with their Korean roots.
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so, how about “sojourner soju”?
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Possibly. There’s something about 3 syllables that makes it less snappy than 2 syllables. I assume that they know the word gyopo but may not know the word sojourner.
Sojourn(er) is/are not (a) word(s) I would naturally use. Several times on this blog I’ve typed ‘During my first/second stay in Korea’. I don’t like ‘stay’ but can’t think of any other reasonable option.
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