If the price isn't an issue but your company doesn't allow booking business, (and you have a friend with GPUs to burn), maybe you could attempt to get on UA and book a Y-fare and fly in business.

Timing is the issue.
I don't know how the consulate is in NYC but I know in chicago they say they don't do same day but if you show up in the morning they will usually have it to you after lunch. Is it too late for you to head over to the consulate now and get your app in?