Green Card/Marriege
Yeap,you can go that route,and it does work.At this point in time,it takes 6 to 9 months from "Fileing" to "Working". Hints: Marry IN USA,(less complicated).
After the marriage,do not bust your 90 day Visa Waiver peroid.(That is a favouite pit fall).Once you return to EU,you will be well advised to stay out of USA until you get residency,green card etc.There is nothing in black and white to say that you cannot visit while your application is being processed,but US Immigration WILL have you on their computer system as "Application in process".They can,and do put you on the 1st. flight from whence you came.(i.e. dont make waves!).Lastly,dont foget the "prenup" !