Besides all the documents that show your intended EU consulate that your a financially sound traveler/ tourist, show them intent to exit.
How? - Dummy ticket/ unticketed reservation to India or elsewhere. Or buy a full fare fully refundable ticket to elsewhere and then cancel it once you have the visa.
I had to something similar once as a latin american consulate wanted a ticket, and we were struggling because:
- To set a schedule to fly from a certain location in US
- Find a day / date when fare was suitably inexpensive
- Reach that city on time
- Sync up with my friends schedule in Latin Am
- And get consular date/ time appointment for the visa in another US city
Try to get all this done in a short window of time. Crazy.
So, I had to try & lock a visa appointment in one US City A (and documents/ invitation letter etc), cancel the booked ticket, sync up with friend to book a ticket few days down the line (weekend), travel to US city B to catch flight to US City C where my luggage was sitting, pack my bags and then fly to latin america.