I'm not an expert, but I went for the EASA license as that one was going to be the most work and hassle to convert from any other ICAO license to... as I understand it going to the US and doing an FAA license means you're pretty much looking at doing your career in the US (which doesn't seem all that bad!) with its more demanding flying hours requirements, or again going through a bit of a pain in the backside to convert it to an EASA license.
Have you looked into doing your EASA license in the US? I believe it's possible... might be worth researching!