Sorry, but we don't have unlimited time to answer (as someone says that op left the topic). I have also told my lawyer to check about it.
So, the results up to now are:
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In Greece, as other countries like UK and Germany, US LLC are not treaded as tax transparent. Are treated as opaque/corporations.
In Greece, you pay for this income a tax in the rate of dividends (it was 15%, but last years 5%)
Don't say about personal income, etc as nowhere it is stated. If you have different opinion, please share it here.
About the management, we think to have an︀ independent US manager but it is still under searching.