Ratherbehunting hit the nail right on the head... I have been working overseas for the past 5 years and have only worked with foreign contracting agencies for that exact reason. I don't hide my money from the US Gov't, all my money gets wire transferred into my US bank account.. The only difference is that I don't have to pay any taxes on it because I get my money wired from an overseas bank into my US bank and I meet the Expat requirements. If you go with VOR, and if they do pay you as a contractor, that $15000 per month will be like $9000 after you pay taxes to the US gov't using the 1099, the reason VOR does it that way is because it saves them the burden of having to hire you as a full time pilot.
Better off finding a contracting agency outside the US that offers the same deal. This way you get the full $15000 and don't have to worry about a 1099 and just file the standard 2555 expat form instead.