I would also fax and email them. Indian consular officials are notoriously unhelpful. I would also suggest just calling some of the other officers listed on the website (under Embassy) - upto the Ambassador's office - they may connect you to a live person (with a lot of luck).
Contact Us
Chancery
2107 Massachusetts Avenue, NW
Washington, DC 20008
USA - 20008
Telephone: (202) 939-7000
Fax: (202) 265-4351
Embassy Hours: 930 AM - 600 PM
Consular Wing
2536 Massachusetts Avenue, NW
Washington, DC 20008
Telephone: (202) 939-9806
Fax: (202) 797-4693
Consular Services Timings
Applications for all consular services (like issue of new/duplicate passports, visas, renewals and miscellaneous services on passports, legalization/attestation of documents) are accepted between 09:30 am and 12:30 pm. The passports and other documents, irrespective of date or time of submission, are delivered only between 04:30 pm and 05:15 pm (EST) on working days (Embassy Holidays). This time schedule does not apply to services where prior approval is required from the authorities in India.
Current USA time 9:15:02 AM (EST) Current India time 6:45:02 PM
Chancery
Phone: (202) 939-7000
Fax: (202) 265-4351
Consular Wing
Phone: (202) 939-9806
Fax: (202) 797-4693