First of all, have you considered doing a combined University degree and professional flight course?There are universities in the US that offer this.
The emigrating to the US will be a hassle, unless of course you already have citizenship, a green card or decide to marry a US citizen. What flight students often do is enroll in a so-called part 141 training course, which enables you to apply for a J-1 visa, which in turn is valid for 2 years and allows you to work as a flight instructor (only). Therefore, since you only have 2 years to get certified and instruct to get hours, I would suggest a school who is certified under part 141, can give you a J-1 visa, and has a reasonably quick course. Here`s one; North American Institute of Aviation in South Carolina. Not as expensive as the more high profile schools either.
There will also come a time where (if you don`t get citizenship and so on) you will have to go home and convert your FAA certificates to JAA licenses.
To clear up some confusion you might have; both CPL and ATPL licenses give you the right to fly for hire. The CPL is the "lower" of the two and is an absolute minimum to get you in the right seat. And basically the ATPL gives you the right to be Captain. I know there are more details around this, but that`s the basic idea. In the US you have one written exam for each certificate, and the writtens are only valid for 2 years. In Europe, the theory is far more comprehensive, with about 14 writtens for the fATPL.
In 5-6 years the situation is probably better again, but this is something that really can`t be guesstimated too well these days, with the blasts going off all over the place, nuclear deception and hopefully disarmament, and a possible Gulf War II. But in any case you should get an instructor`s rating and "do your time" while in the US.
Hope that helped a bit, and keep in mind that I`m generalising, there are always more details than what you get here.