Well, It is not just about money. It is also about time. If your ultimate goal is to work in US, then H1 is better option. Because, you do not lose an extra year of time. Also, the fees you have paid towards you education.
The lowest cost option can also be a J-1 transition, it is free. However you have to attach yourself to an academic institution as work and learning are essential components to a J-1 visa
Sandeep Shankar, Ph.D.
Academic Advisor (India) to The Executive Director
Colorado Heights University
Denver, CO 80223, USA
[www.chu.edu](http://www.chu.edu/); 001-720-212-6504