**BIASED OPINION**
Though my background is different, I have somehow similar goals than yours. I think that the thought that INSEAD is not as strong in the US is partially true, I have already landed an internship for a US based VC for the next summer, and am an INSEAD admit. I think you do have to network more, have more logistic expenses to interview, etc, but INSEAD is a recognized brand by people who hire. It is true that it will not have the wow factor that HBS has in a dive bar in California with a random girl, but I doubt anyone goes to Business School to get that. I assure you the companies who hire know INSEAD.
Having said that, you should try to go to the admits weekend this friday, you'll be surprised by the amount of Googlers, Uber guys, etc that are a part of the class. I think you have a huge advantage over guys like me: you're american and you won't need a Visa to return, so I would definitely go to INSEAD, you'll get the job you want, and I think you have a big advantage vs US Schools, that is that you'll have a truly broad network in virtually any country of the world, with the most tight knit community in the business, hands down. I think that is what made me go for INSEAD.
On the career services, the only thing INSEAD has a disadvantage, is that the French government doesn't issue a working Visa, so staying in the EU except UK might be hard. But you can land a job in the UK, US, UAE, Asia, and there you have an huge advantage.
Hope this view helps!