A STEM extension is valid for 17 months after expiration of initial OPT. Most F-1 dates expire during this stage. If your EAD card has valid dates, technically you are on a VALID F-1 visa because your are extending work options for what originally began during the study program. You are NOT a status-less individual but on an F-1. Your school should issue necesary documents to extend dates so that you can get visa stamped in India. STEM extension is an extremely prestigious ruling of BCIS, it will be silly for some consulate in India to deny your visa, it does not make sense. Make sure you take all papers with you though - the school will help.
All the best
Dr. Sandeep Shankar, Academic Advisor (India) to The Executive Director, Colorado Heights University, Denver, CO 80223, USA. [www.chu.edu](http://www.chu.edu)