Hi All,
If you were not thinking about pursuing higher studies, you might want to consider it because of the following reason. Students who are enrolled in a degree program can work upto 18 Hours/Week and earn money.
You can enroll in a one-year program that is of interest to you and work part-time. Once you get into a company on part-time basis, you have a better chance of working for them for more hours and getting paid the rest of the hours in cash. Not every company will agree to it, but once you start working, personal contact can help you manage that.
As Sonal has mentioned, once you finish your degree program you can then process your H1B without worrying about the quota limitation because you will then fall under a separate category for which the quota limits are never reached.
Something to think about as life as a H4 is pretty boring
Indira