Get Both
Our Pilots and F/A's (those non US citizen/resident) have the B1/2 and C crew visas both.
IF you can get them both, preferably in two different passports, you can enter the US on any aircraft when free lancing (C/D) or commercial flight (B1/2). You do not jeopardize the employer your are entering with headaches how to get on the aircraft. Regardless who pays your paycheck a US or foreign employer, you will be asked that question by CBP. Explaining you are working for whom and why in the US and how your getting paid are one of those pesky questions during your screening at the airport. And if your picking up an a/c in the USA you can legally do so. Sometimes CBP is confused who what where for private aviation issues, but the Crew visa clears that hurdle.
Good luck with your new adventure.