Bhai bahini haru (forgive my presumption, but from the conversation thread I could surmise that most, if not all, of you are of younger age that me), if I may, let me share my thoughts with you. If you find it helpful, great.  If not, don't think twice of it.

The best way I see for any foreign student to achieve Green Card and start the supposed "good life" (note the quotes) in America in relatively short time is through academics.  Sure there are other ways.  You can get married to an American.  You can work at an Indian restaurant.  You can go through often unpredictable and lengthy H1B then EB3/2 process.  You can try your luck with DV lottery.  But if you are new to this country and just starting out as a freshman or sophomore, studying hard is the most straight forward way to move up.  Let me explain.

It does not matter where you go for undergraduate, (obviously more selective your school is, the better - but even then, it's not the place, it's what you do at that place that matters).  However, choosing your major is important.  If you major in STEM (Science, Technology, Engineering, Math) subjects - humanities, liberal arts subjects, while admirable, are not that helpful for our purpose.  Your GPA in junior and senior year should be above 3.5.  You should do well in GRE.  You should also take and do well in Subject GRE.  And you should get accepted in top tier research university for PhD.

Once you attain Doctoral degree (normally takes 5 years, and most schools will allow you to go directly from Bachelors to PhD), you should have very little problem finding suitable, high paying job.  But more than that, you will be able to apply for Green Card at EB1 category.  No need to do labor certification.  You will get your permanent residency within a year or so. 

This way, you have no worries over maintaining status or getting a good job or fulfilling your so called American Dream.